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Tewfik Sari

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### [Directeur de Recherche, INRAE](https://itap.inrae.fr/?page_id=3373) ### [UMR ITAP (INRAE-Institut Agro)](https://itap.inrae.fr/), Montpellier, France **Diplômes** - 1983 : Docteur es Sciences Mathématiques, Université de Haute Alsace, Mulhouse - 1979 : Docteur de 3ème cycle, Spécialité Mathématiques, Université Louis Pasteur, Starbourg - 1977 : DEA de Mathématiues, Spécialité Algèbre, Géométrie et Topologie, Université Louis Pasteur, Starsbourg - 1976 : DES de Mathématiques, Spécialité Géométrie, Université d'Oran Es-Sénia, Algérie **Expériences professionnelles** - 1982 - 1983 : Assistant associé, Université Louis Pasteur, Strasbourg - 1983 - 1988 : Maître de Conférences, Université de Sidi Bel Abbes (Algérie) - 1988 - 1991 : Professeur, Université de Sidi Bel Abbes (Algérie) - 1991 - 1992 : Maître de Conférences associé (1 an), Université de Haute Alsace, Mulhouse - 1993 - 1994 : Maître de Conférences, Université de La Rochelle - 1994 - 2011 :[ Professeur, Université de Haute Alsace, Mulhouse ](http://www.math.uha.fr/sari/) - 2011 - 2018 : Détachement au Cemagref/Irstea comme Directeur de Recherche (DR1) - 2019 : Intégration à Irstea comme Directeur de Recherche (DR1) - 2020 - : Directeur de Recherche (DR1) à INRAE **Invitations et délégations** - 1988 : Visiting Professor (6 mois), Groningen University, Pays Bas - 1992 - 1993 : Maitre de Conférence invité (6 mois), Université de Nice - 1993 : Professeur invité (1 mois), Université de Pau - 2000 - 2002 : Délégation à l'INRIA (2 ans), dans l'équipe [COMORE](http://www-sop.inria.fr/comore/main_fr.html) - Nice - Sophia Antipolis - 2008 - 2011 : Délégation chez Inria (2 ans et demi), dans les équipes projets [MERE et MODEMIC](https://team.inria.fr/modemic/fr/) communes entre Inria et INRA, Montpellier **Directions de laboratoires** - Directeur du [LMIA (Laboratoire de Mathématiques, Informatique et Applications, Université de Haute Alsace, Mulhouse)](http://www.lmia.uha.fr/LMIA-Universite_de_Haute_Alsace/Bienvenue.html) pendant 4 ans du 10/2003 au 09/2007. - Directeur de l'[UMR ITAP (Irstea-SupAgro, Montpellier)](https://itap.inrae.fr/) pendant 8 ans, du 10/2011 au 09/2019. **Doctorants** - [Thèses soutenues (*Université, Date, Codirecteur*)](https://www.genealogy.math.ndsu.nodak.edu/id.php?id=112188) : Séfiane Touhami (*Nice, 1996, C. Lobry*), Arnaud Hirtz (*Mulhouse, 2003*), Mustpaha Lakrib (*Mulhouse, 2004*), Tahia Zerizer (*Mulhouse, 2005*), Karim Yadi (*Mulhouse, 2008*), Radhouane Fekih-Salem (*Montpellier-Tunis, 2013,* *N. Abdellatif - N. Gmati - A. Rapaport*), Mamadou Lamine Diagne (*Mulhouse-Saint Louis du Sénégal, 2013, M. Teuw Niane*), Yessmine Daoud (*Montpellier-Tunis, 2017,* *N. Abdellatif - N. Gmati - J. Harmand*), Bachir Bar (*Tlemcen-Algérie, 2019, M. Lakrib*), Dellal Mohamed (*Sidi Bel Abbes-Algérie, 2019, M. Lakrib*), Sarra Nouaoura (*Tunis, 2021, N. Abdellatif - R. Fekih Salem*), Bilal Elbetch (*Saida - Algérie, 2022, T. Benzekri - D. Massart*), Manel Dali Youcef (*Montpellier, 2022, A. Rapaport*), Tahani Mtar (*Tunis, 2023,N. Abdellatif - R. Fekih Salem*).. - Thèses en cours (*Université, Date de début, Codirecteur*) : Amina Hammoum (*Tlemcen, 2019,K. Yadi*), Hayat Berhoune (*Tlemcen, 2019, M. Lakrib*). **Jury de thèses et de HDR** - Rapporteur des Thèses de (*Université, Date, Directeur de la thèse*) : Azzouz Awane (*Mulhouse, 1992, M. Goze*), Saida Bendaas (*Mulhouse, 1994, R. Lutz*), Hanine Zénati (*Metz, 1999, G. Sallet*), Ourida Chabour (*Metz, 2000, G. Sallet*), Samuel Bowong (*Metz, 2003, G. Sallet*), Ngalla Djitte (*Paris Dauphine, 2004, I. Ekeland*), Jean-Jules Tewa (*Metz, 2007, G. Sallet*), Abdouramane Guiro (*Metz-Ouagadougou, 2009, A. Iggidr - H. Touré*), Mickael Teixeira Alves (*Nice, 2013, F. Grognard - L.Mailleret*), Walid Oukil (*Alger-Bordeaux, 2016, K. Arezki - P. Thieullen*), Djaffar Lessy (*Nice, 2020, M. Diener*), Leila Bouazza (*Mulhouse, 2021, A. Makhlouf*) - Examinateur des Thèses de (*Université, Date, Directeur de la thèse*) : Amine Hadjar (*Mulhouse, 1992, R. Lutz*), Mohamed Bekkar (*Mulhouse, 1993, T. Hangan*), Luis Gonzaga Albuquerque (*Mulhouse, 1994, R. Lutz*), Nouredine Mehidi (*Pau, 1995, O. Arino*), Joel Rouyer (*Mulhouse, 2002, T. Hangan*), Eduardo Haro-Sandoval (*Mulhouse, 2006, M. Basset-G. Gissinger*), Gonzalo Robledo (*Nice, 2006, J.-L. Gouzé*), Ekaterina Zhadanovskaya (*AgroParisTech, 2007, R.Arditi*), Lyès Nechak (*Mulhouse, 2011, E. Aubry - S. Berger*), Sihem Kouloughli (*Tlemcen, 2013, Z. Sari*), Boumédiène Benyahia (*Montpellier-Tlemcen, 2012, B. Cherki - J. Harmand*), Ibtissem Didi (*Tlemcen, 2014*, *B. Cherki - H. Dib*), Amine Guezzen (*Tlemcen, 2014, Z. Sari*), Ismael Belgacem (*Nice, 2015, J.-L. Gouzé*), Sonia Hassam (*Tlemcen, 2015*, *B. Cherki - J. Harmand*), Zineb Khedim (*Tlemcen, 2018*, *B. Cherki - J. Harmand*), Ariane Albers (*Montpellier, 2019, A. Hélias*), Kenza Boumaza (*Montpellier, 2021, A. Rapaport et T. Bayen*) - Jury de HDR de (*Université, Date, rapporteur ou non*): Augustin Fruchard (*Strasbourg, 1995*), Samir Akesbi (*Mulhouse, 2001*), Elisabeth Pecou (*Dijon, 2005*), Boumédiène Ettaoui (*Mulhouse, 2008*), Abderrahman Iggidr (*Nice, 2010, rapporteur*), Imme van den Berg (*Evora-Portugal, 2012, rapporteur*), Francis Mairet (*Nice, 2016, rapporteur*), Radhouane Fekih Salem (*Tunis, 2020*), Derdei Bichara (*Bordeaux, 2023, rapporteur*)

Publications

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When can a population spreading across sink habitats persist?

Michel Benaim , Claude Lobry , Tewfik Sari , Édouard Strickler
Journal of Mathematical Biology, 2024, 88 (19), pp.1-56. ⟨10.1007/s00285-023-02039-8⟩
Journal articles hal-04099082v2
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The productivity of two serial chemostats

Manel Dali-Youcef , Tewfik Sari
International Journal of Biomathematics, 2023, 16 (6), ⟨10.1142/S1793524522501133⟩
Journal articles hal-03445797v1
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Untangling the role of temporal and spatial variations in persistance of populations

Michel Benaïm , Claude Lobry , Tewfik Sari , Édouard Strickler
Theoretical Population Biology, 2023, 154, pp.1-26. ⟨10.1016/j.tpb.2023.07.003⟩
Journal articles hal-03453665v2
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The Rosenzweig-Macarthur Graphical Criterion for a Predator-Prey Model with Variable Mortality Rate

Amina Hammoum , Tewfik Sari , Karim Yadi
Qualitative Theory of Dynamical Systems, 2023, 22 (1), pp.36. ⟨10.1007/s12346-023-00739-6⟩
Journal articles hal-03792040v1
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The multi-patch logistic equation with asymmetric migration

Bilel Elbetch , Tounsia Benzekri , Daniel Massart , Tewfik Sari
Revista Integración, temas de matemáticas, 2022, 40 (1), pp.25-57. ⟨10.18273/revint.v40n1-2022002⟩
Journal articles hal-03179136v4
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Best Operating Conditions for Biogas Production in Some Simple Anaerobic Digestion Models

Tewfik Sari
Processes, 2022, 10 (2), ⟨10.3390/pr10020258⟩
Journal articles hal-03501365v2
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Operating diagrams for a three-tiered microbial food web in the chemostat

Sarra Nouaoura , Radhouane Fekih-Salem , Nahla Abdellatif , Tewfik Sari
Journal of Mathematical Biology, 2022, 85 (5), ⟨10.1007/s00285-022-01812-5⟩
Journal articles hal-03284354v1
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Performance Study of Two Serial Interconnected Chemostats with Mortality

Manel Dali-Youcef , Alain Rapaport , Tewfik Sari
Bulletin of Mathematical Biology, 2022, 84 (10), ⟨10.1007/s11538-022-01068-6⟩
Journal articles hal-03762535v1
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Mortality can produce limit cycles in density-dependent models with a predator-prey relationship

Tahani Mtar , Radhouane Fekih-Salem , Tewfik Sari
Discrete and Continuous Dynamical Systems - Series B, inPress, ⟨10.3934/dcdsb.2022049⟩
Journal articles hal-03283371v3
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Mathematical analysis of a three-tiered model of anaerobic digestion

Sarra Nouaoura , Nahla Abdellatif , Radhouane Fekih-Salem , Tewfik Sari
SIAM Journal on Applied Mathematics, 2021, 81 ((3)), pp.1264-1286. ⟨10.1137/20M1353897⟩
Journal articles hal-02540350v3
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The multi-Patch logistic equation

Bilel Elbetch , Tounsia Benzekri , Daniel Massart , Tewfik Sari
Discrete and Continuous Dynamical Systems - Series B, 2021, 26 (12), pp.6405 - 6424. ⟨10.3934/dcdsb.2021025⟩
Journal articles hal-02906124v2
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The operating diagram for a two-step anaerobic digestion model.

Tewfik Sari , Boumediene Benyahia
Nonlinear Dynamics, 2021, ⟨10.1007/s11071-021-06722-7⟩
Journal articles hal-02557464v2
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Interspecific density-dependent model of predator–prey relationship in the chemostat

Tahani Mtar , Radhouane Fekih-Salem , Tewfik Sari
International Journal of Biomathematics, 2021, 14 (1), pp.2050086. ⟨10.1142/S1793524520500862⟩
Journal articles hal-02445761v2
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Mathematical study of a two-stage anaerobic model when the hydrolysis is the limiting step

Mohammed Hanaki , Jérôme Harmand , Zoubida Mghazli , Alain Rapaport , Tewfik Sari
Processes, 2021, 9, ⟨10.3390/pr9112050⟩
Journal articles hal-03425496v1
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A mathematical model of anaerobic digestion with syntrophic relationship, substrate inhibition and distinct removal rates

Radhouane Fekih-Salem , Yessmine Daoud , Nahla Abdellatif , Tewfik Sari
SIAM Journal on Applied Dynamical Systems, 2021, 20 (3), pp.1621-1654. ⟨10.1137/20M1376480⟩
Journal articles hal-02085693v2
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Mathematical analysis of a three-tiered food-web in the chemostat

Sarra Nouaoura , Radhouane Fekih-Salem , Nahla Abdellatif , Tewfik Sari
Discrete and Continuous Dynamical Systems - Series B, 2021, 26 (10), pp.5601-5625. ⟨10.3934/dcdsb.2020369⟩
Journal articles hal-02878246v2
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A predator-prey system with Holling-type functional response

Nabil Beroual , Tewfik Sari
Proceedings of the American Mathematical Society, 2020, ⟨10.1090/proc/15166⟩
Journal articles hal-02002894v2
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Study of performance criteria of serial configuration of two chemostats

Manel Dali Youcef , Alain Rapaport , Tewfik Sari
Mathematical Biosciences and Engineering, 2020, 17 (6), pp.6278-6309. ⟨10.3934/mbe.2020332⟩
Journal articles hal-02935942v1
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The operating diagram for a model of competition in a chemostat with an external lethal inhibitor

Bachir Bar , Tewfik Sari
Discrete and Continuous Dynamical Systems - Series B, 2020, 25 (6), pp.2093-2120. ⟨10.3934/dcdsb.2019203⟩
Journal articles hal-01986280v2
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Effect of a new variable integration on steady states of a two-step Anaerobic Digestion Model

Boumediene Benyahia , Tewfik Sari
Mathematical Biosciences and Engineering, 2020, 17 (5), pp.5504-5533. ⟨10.3934/mbe.2020296⟩
Journal articles hal-02657259v2
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Operating diagram of a flocculation model in the chemostat

Radhouane Fekih-Salem , Tewfik Sari
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, inPress, CARI 2018, Volume 31 - 2019 - CARI 2018, pp.45-58. ⟨10.46298/arima.5593⟩
Journal articles hal-02160798v3

An algorithm for computing the generalized interaction index for k-maxitive fuzzy measures

Javier Murillo , Serge Guillaume , Tewfik Sari , Pilar Bulacio
Journal of Intelligent and Fuzzy Systems, 2020, 38 (4), pp.4127-4137. ⟨10.3233/JIFS-190403⟩
Journal articles hal-02928685v1
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Sur la probabilité d'extinction d'une population dans un environnement périodique lent

Nicolas Bacaër , Claude Lobry , Tewfik Sari
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2020, Volume 32 - 2019 - 2021, pp.81-95. ⟨10.46298/arima.6265⟩
Journal articles hal-02388815v5
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Technical Note: On the puzzling similarity of two water balance formulas - Turc-Mezentsev vs. Tixeront-Fu

Vazken Andréassian , Tewfik Sari
Hydrology and Earth System Sciences, 2019, 23 (5), pp.2339-2350. ⟨10.5194/hess-23-2339-2019⟩
Journal articles hal-02609422v1
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Properties of the chemostat model with aggregated biomass and distinct dilution rates

Radhouane Fekih-Salem , Tewfik Sari
SIAM Journal on Applied Dynamical Systems, 2019, 18 (1), pp.481-509. ⟨10.1137/18M1171801⟩
Journal articles hal-01722448v2
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Enseignement et recherche - Au cœur de #DigitAg, l'Institut Convergences Agriculture Numérique, une Graduate School innovante

Vincent Ranwez , Nina Lachia , Tewfik Sari
Sciences Eaux & Territoires, 2019, 29, pp.1-4. ⟨10.14758/SET-REVUE.2019.3.13⟩
Journal articles hal-03999235v1
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Steady state analysis of a syntrophic model: the effect of a new input substrate concentration

Yessmine Daoud , Nahla Abdellatif , Tewfik Sari , Jérome Harmand
Mathematical Modelling of Natural Phenomena, 2018, 13 (3), pp.21. ⟨10.1051/mmnp/2018037⟩
Journal articles hal-02608022v1
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The reuse of reclaimed water for irrigation around the Mediterranean Rim: a step towards a more virtuous cycle?

Nassim Ait-Mouheb , Akiça Bahri , Bechir Ben Thayer , Boumediene Benyahia , Guilhem Bourrie
Regional Environmental Change, 2018, 18 (3), pp.693 - 705. ⟨10.1007/s10113-018-1292-z⟩
Journal articles hal-01767840v1

How to define the optimal grid size to map high resolution spatial data ?

Bruno Tisseyre , C. Leroux , L. Pichon , V. Geraudie , Tewfik Sari
Precision Agriculture, 2018, 19 (5), pp.957-971. ⟨10.1007/s11119-018-9566-5⟩
Journal articles hal-02607457v1
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Asymmetric dispersal in the multi-patch logistic equation

Roger Arditi , Claude Lobry , Tewfik Sari
Theoretical Population Biology, 2018, 120, pp.11 - 15. ⟨10.1016/j.tpb.2017.12.006⟩
Journal articles hal-01688305v1
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Effect of control parameters on biogas production during the anaerobic digestion of protein-rich substrates

Z. Khedim , Boumédiène Benyahia , Brahim Cherki , Tewfik Sari , Jérôme Harmand
Applied Mathematical Modelling, 2018, 61, pp.351-376. ⟨10.1016/j.apm.2018.04.020⟩
Journal articles hal-02608027v1
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A MODEL OF TWO COMPETITORS IN A CHEMOSTAT WITH AN EXTERNAL INHIBITOR

Mohamed Dellal , Mustapha Lakrib , Tewfik Sari
Mathematical Biosciences, 2018, 302, pp.27-45. ⟨10.1016/j.mbs.2018.05.004⟩
Journal articles hal-01573559v2
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A density-dependent model of competition for one resource in the chemostat

Radhouane Fekih-Salem , Claude Lobry , Tewfik Sari
Mathematical Biosciences, inPress, 286, pp.104-122. ⟨10.1016/j.mbs.2017.02.007⟩
Journal articles hal-01359078v1
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Generalised approach to modelling a three-tiered microbial food-web

Tewfik Sari , Matthew J. J Wade
Mathematical Biosciences, 2017, 291, pp.21-37. ⟨10.1016/j.mbs.2017.07.005⟩
Journal articles hal-01185634v3
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Perspectives in Mathematical Modelling for Microbial Ecology

Matthew J. Wade , Jérôme Harmand , Boumediene Benyahia , Théodore Bouchez , Stephane Chaillou
Ecological Modelling, 2016, 321 (64-74), pp.64-74. ⟨10.1016/j.ecolmodel.2015.11.002⟩
Journal articles hal-01227423v1
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Competition for a single ressource and coexistence of several species in the chemostat

Nahla Abdellatif , Radhouane Fekih-Salem , T Sari
Mathematical Biosciences and Engineering, 2016, 13 (4), pp.631-652. ⟨10.3934/mbe.2016012⟩
Journal articles hal-01137578v2
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Emergence of coexistence and limit cycles in the chemostat model with flocculation for a general class of functional responses

R. Fekih-Salem , Alain Rapaport , T. Sari
Applied Mathematical Modelling, 2016, 40 (17-18), pp.7656-7677. ⟨10.1016/j.apm.2016.03.028⟩
Journal articles hal-01294253v1
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A model of a syntrophic relationship between two microbial species in a chemostat including maintenance

T. Sari , Jérôme Harmand
Mathematical Biosciences, 2016, 275, pp.1-9. ⟨10.1016/j.mbs.2016.02.008⟩
Journal articles hal-01541383v1
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Migrations in the Rosenzweig-MacArthur model and the "atto-fox" problem

Claude Lobry , Tewfik Sari
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2015, Volume 20 - 2015 - Special issue - Colloquium in Honor of Éric Benoît, pp.95-125. ⟨10.46298/arima.1990⟩
Journal articles hal-01235211v2
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Maximizing biogas production from the anaerobic digestion

Amel Ghouali , Tewfik Sari , Jérome Harmand
Journal of Process Control, 2015, 36, pp.79-88. ⟨10.1016/j.jprocont.2015.09.007⟩
Journal articles hal-01205935v1

Is dispersal always beneficial to carrying capacity? New insights from the multi-patch logistic equation

Roger Arditi , Claude Lobry , Tewfik Sari
Theoretical Population Biology, 2015, 106, pp.45-59. ⟨10.1016/j.tpb.2015.10.001⟩
Journal articles hal-01235210v1
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Predicting coexistence of plants subject to a tolerance-competition trade-off

B. Haegeman , T. Sari , R.S. Etienne
Journal of Mathematical Biology, 2014, 68 (7), pp.1815-1847. ⟨10.1007/s00285-013-0692-4⟩
Journal articles hal-00947795v1
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Analyse mathématique d'un modèle de digestion anaérobie à trois étapes

Radhouane Fekih-Salem , Nahla Abdellatif , Tewfik Sari , Harmand Jérôme
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2014, Volume 17 - 2014 - Special issue CARI'12, pp.53-71. ⟨10.46298/arima.1967⟩
Journal articles hal-01300059v1
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Anaerobic Membrane BioReactor modeling in the presence of Soluble Microbial Products (SMP) - the Anaerobic Model AM2b

Boumediene Benyahia , Tewfik Sari , Brahim Cherki , Jérôme Harmand
Chemical Engineering Journal, 2013, 228, pp.1011-1022. ⟨10.1016/j.cej.2013.05.073⟩
Journal articles hal-00859541v1
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Extension of the chemostat model with flocculation

Radhouane Fekih-Salem , Jérôme Harmand , Claude Lobry , Alain Rapaport , Tewfik Sari
Journal of Mathematical Analysis and Applications, 2013, 397 (1), pp.292-306. ⟨10.1016/j.jmaa.2012.07.055⟩
Journal articles hal-00777539v1
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As many antipodes as vertices on convex polyhedra

J. Rouyer , Tewfik Sari
Advances in Geometry, 2012, 12 (1), pp.43 -61. ⟨10.1515/advgeom.2011.030⟩
Journal articles hal-00777554v1
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Bifurcation and stability analysis of a two step model for monitoring anaerobic digestion processes

Brahim Benyahia , T. Sari , B. Cherki , Jérôme Harmand
Journal of Process Control, 2012, 22 (6), p. 1008 - p. 1019. ⟨10.1016/j.jprocont.2012.04.012⟩
Journal articles hal-00777051v1
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The mathematical analysis of a syntrophic relationship between two microbial species in a chemostat

T. Sari , M. El Hajji , Jérôme Harmand
Mathematical Biosciences and Engineering, 2012, 9 (3), p. 627 - p. 645. ⟨10.3934/mbe.2012.9.627⟩
Journal articles hal-00765311v1
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Competitive Exclusion for Chemostat Equations with Variable Yields

Tewfik Sari
Acta Applicandae Mathematicae, 2012, 123 (1), p. 201 - p. 219. ⟨10.1007/s10440-012-9761-8⟩
Journal articles hal-00780065v1
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Comportement asymptotique d’un modèle à commutation de la prolifération du Typha

Mamadou Lamine Diagne , Papa Ibrahima Ndiaye , Mary Teuw Niane , Tewfik Sari
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2012, Volume 15, 2012, pp.101-122. ⟨10.46298/arima.1960⟩
Journal articles hal-01299493v1
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Sur un modèle de compétition et de coexistence dans le chémostat

Radhouane Fekih-Salem , Tewfik Sari , Nahla Abdellatif
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2011, Volume 14 - 2011 - Special issue CARI'10, pp.15-30. ⟨10.46298/arima.1953⟩
Journal articles hal-00777548v2
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Global dynamics of the chemostat with different removal rates and variable yields

Tewfik Sari , Frédéric Mazenc
Mathematical Biosciences and Engineering, 2011, 8 (3), pp.827-840. ⟨10.3934/mbe.2011.8.827⟩
Journal articles hal-00418676v2

A Lyapunov function for the chemostat with variable yields

Tewfik Sari
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2010, 348 (13-14), pp.747-751. ⟨10.1016/j.crma.2010.06.008⟩
Journal articles inria-00505288v1

Comments on "Limit cycles in the chemostat with constant yields" Mathematical and Computer Modelling 45 (2007) 927-932

Tewfik Sari
Mathematical and Computer Modelling, 2010, 52 (9-10), http://dx.doi.org/10.1016/j.mcm.2010.07.010. ⟨10.1016/j.mcm.2010.07.010⟩
Journal articles hal-00505820v1
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Time averaging for ordinary differential equations and retarded functional differential equations

Mustapha Lakrib , Tewfik Sari
Electronic Journal of Differential Equations, 2010, 2010 (40), pp.1-24
Journal articles hal-01189562v1
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Poleni curves on surfaces of constant curvature

Théodor Hangan , Cornel Murea , Tewfik Sari
Rendiconti del Seminario Matematico, 2009, 67, pp.59-76
Journal articles hal-00204551v1

Dynamic transcritical bifurcations in a class of slow-fast predator-prey models

Hafida Boudjellaba , Tewfik Sari
Journal of Differential Equations, 2009, 46 (6), pp.2205-2225. ⟨10.1016/j.jde.2009.01.001⟩
Journal articles hal-00858536v1
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Avant Propos

Mary Teuw Niane , Gauthier Sallet , Tewik Sari , Hamidou Touré
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2008, Volume 9, 2007 Conference in Honor of Claude Lobry, 2008, pp.3-3. ⟨10.46298/arima.1889⟩
Journal articles hal-01277838v1

Nonstandard analysis and representation of reality

Claude Lobry , Tewfik Sari
International Journal of Control, 2008, 81 (3), pp.519-536. ⟨10.1080/00207170701601728⟩
Journal articles hal-00857828v1
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The peaking phenomenon and singular perturbations

Claude Lobry , Tewfik Sari
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2008, Volume 9, 2007 Conference in Honor of Claude Lobry, 2008 (Spécial issue of Claude Lobry), pp.487-516. ⟨10.46298/arima.1910⟩
Journal articles hal-01019722v2

Qualitative simulation of genetic regulatory networks using piecewise-linear models.

Hidde de Jong , Jean-Luc Gouzé , Céline Hernandez , Michel Page , Tewfik Sari
Bulletin of Mathematical Biology, 2004, 66 (2), pp.301-40. ⟨10.1016/j.bulm.2003.08.010⟩
Journal articles hal-00173849v1
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Some non-intuitive properties of serial chemostats with and without mortality

Manel Dali-Youcef , Jerome Harmand , Alain Rapaport , Tewfik Sari
10th Vienna International Conference on Mathematical Modelling (Mathmod), Jul 2022, Vienna, Austria. ⟨10.1016/j.ifacol.2022.09.140⟩
Conference papers hal-03697663v2
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Rosenzweig-MacArthur model with variable disappearance rate

Amina Hammoum , Tewfik Sari , Karim Yadi
CARI 2022, Oct 2022, Tunis, Tunisia
Conference papers hal-03712243v1
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Mathematical analysis of an interspecific density-dependent model with mutual inhibition and distinct removal rates

Tahani Mtar , Radhouane Fekih-Salem , Tewfik Sari
African Conference on Research in Computer Science and Applied Mathematics - CARI, Oct 2022, Hammamet, Tunisia
Conference papers hal-03592321v2
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Effects on competition Induced by periodic fluctuations in environment

Mamadou Lamine Diagne , T. Sari
African Conference on Research in Computer Science and Applied Mathematics (CARI 2020), Oct 2020, THIES, Sénégal
Conference papers hal-02962087v1
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Effects on competition induced by periodic fluctuations in environment

Mamadou Lamine Diagne , T. Sari
Proceedings of CARI 2020, Sep 2020, Thies (Senegal), France
Conference papers hal-02928461v1
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Effect of the mortality on a density-dependent model with a predator-prey relationship

Tahani Mtar , Radhouane Fekih-Salem , Tewfik Sari
CARI 2020 - 15th African Conference on Research in Computer Science and Applied Mathematics, Oct 2020, Thiès, Senegal
Conference papers hal-02912854v2
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Mathematical analysis of a three-tiered microbial food-web model with new input substrates

Sarra Nouaoura , Nahla Abdellatif , Radhouane Fekih-Salem , Tewfik Sari
9 ème édition du colloque Tendances dans les Applications Mathématiques en Tunisie Algérie et Maroc, Feb 2019, Tlemcen, Algeria
Conference papers hal-02912850v1

Croissance et compétition des espèces microbiennes dans un chemostat

Tewfik Sari
9ème édition du colloque Tendances dans les Applications Mathématiques en Tunisie Algérie et Maroc, TAMTAM 09, Feb 2019, Tlemcen, Algérie
Conference papers hal-02930235v1

Modélisation mathématique de la compétition des espèces microbiennes dans le chemostat

Tewfik Sari
Onzième Rencontre d’Analyse Mathématique et Applications RAMA11, Nov 2019, Sidi Bel Abbes, Algérie
Conference papers hal-02930214v1

Competition in the chemostat with an external inhibitor

Tewfik Sari
ICBS2018 : International Conference on Biomathematics in Senegal, Jun 2018, Thiès, Senegal
Conference papers hal-02930309v1
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Operating diagram of a flocculation model in the chemostat

Radhouane Fekih-Salem , Tewfik Sari
CARI'2018, Proceedings of the 14th African Conference on Research in Computer Science and Applied Mathematics, Oct 2018, Stellenbosch, South Africa
Conference papers hal-02912857v1

Operating diagram of a flocculation model in the chemostat,

Radhouane Fekih-Salem , Tewfik Sari
14. African Conference on Research in Computer Science and Applied Mathematics, CARI 2018, Oct 2018, Stellenbosch, South Africa. pp.64-72
Conference papers hal-02934704v1

Dynamic bio-kinetic modelling of microalgae/bacteria cultivation and interaction

Fabrice Béline , Olivier Bernard , P. Lessard , Cyril Marcilhac , Tewfik Sari
1. IWA Conference on Algal Technologies for Wastewater Treatment and Resource Recovery, International Water Association (IWA). INT., Mar 2017, Delft, Netherlands
Conference papers hal-02734206v1
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Analysis of a model of flocculation in the chemostat

T. Sari , R. Fekih-Salem
8ème colloque - Tendances dans les Applications Mathématiques en Tunisie, Algérie et Maroc, May 2017, Hammamet, Tunisia. pp.75-80
Conference papers hal-01766009v1
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Mathematical Modelling and analysis of microbial ecosystems and bioprocesses: research done within the network Treasure

Nahla Abdellatif , Y. Daoud , R. Fekih-Salem , T. Sari , C. Lobry
8ème colloque - Tendances des Applications en Mathématiques Tunisie, Algérie et Maroc, May 2017, Hammamet, Tunisia. pp.51-53
Conference papers hal-01691565v1
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The effect of a new input concentration substrate on a syntrophic relationship of two species in a chemostat

Yessmine Daoud , N T Abdellatif , T Sari , Jérôme Harmand
TAMTAM2017 - Tendances des Applications Mathématiques en Tunisie, Algérie, Maroc, May 2017, Hammamet, Tunisia. pp.69-74
Conference papers hal-01581516v1
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How intra- and interspecific competitions affect the coexistence in the chemostat

R. Fekih-Salem , C. Lobry , T. Sari
8ème colloque - Tendances dans les Applications Mathématiques en Tunisie, Algérie et Maroc, May 2017, Hammamet, Tunisia. pp.55-60
Conference papers hal-01691578v1
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STEADY-STATE ANALYSIS OF A SYNTROPHIC ASSOCIATION OF TWO SPECIES IN A CHEMOSTAT: THE EFFECT OF A NEW INPUT CONCENTRATION SUBSTRATE

Y Daoud , Tewfik Sari , Nahla Abdellatif , Jérôme Harmand
ICCDS, Oct 2016, Agadir, Morocco
Conference papers hal-01581510v1
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Steady-state analysis of a syntrophic association of two species in a chemostat : The effect of a new input concentration substrate

Yessmine Daoud , Nahla Abdellatif , Jérôme Harmand , T. Sari
4. International Conference on Complex Dynamical Systems in Life Sciences: Modeling and Analysis - 4thICCDS’2016, Université Ibn Zohr [Agadir] (UIZ). Agadir, MAR., Oct 2016, Agadir, Morocco
Conference papers hal-02742355v1

MacArthur’s consumer-resource model

Tewfik Sari
AMS-EMS-SPM International Meeting, Jun 2015, Porto, Portugal
Conference papers hal-02602271v1

Effects on growth and competition induced by periodic fluctuations in environment

Tewfik Sari
Workshop Persistence of population models in temporally fluctuating environments, Feb 2015, Lausanne, Switzerland. pp.29
Conference papers hal-02602057v1
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On the global stability of the coexistence equilibrium of a density dependent model of competition for one resource

R. Fekih-Salem , T. Sari
12th African Conference on Research in Computer Science and Applied Mathematics, Oct 2014, Saint-Louis, France. pp.19-30
Conference papers hal-01128594v1

Syntrophic relationship between microbial species in a chemostat

Tewfik Sari
The role of mathematics and computer science in ecological theory - Workshop: Microbial ecology and mathematical modelling, Dec 2014, Lausanne, Switzerland. pp.31
Conference papers hal-02600759v1

MacArthur’s Consumer-Resource Model

Tewfik Sari
The role of mathematics and computer science in ecological theory - Workshop : Multi-scale models, slow-fast differential equations, averaging in ecology, Nov 2014, Lausanne, Switzerland. pp.32
Conference papers hal-02600758v1

Dimension reduction of some paleoclimate models like Saltzman and Maasch 1990

B. de Saedeleer , Tewfik Sari
Apr 2013, Vienne, Austria
Conference papers hal-02598449v1
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Qualitative properties of a 3-steps model of anaerobic digestion including hydrolysis of particulate matter

R. Fekih-Salem , Nahla Abdellatif , T. Sari , Jérôme Harmand
CB-WR-MED Conference/2nd AOP’Tunisia Conference for Sustainable Water Management, Apr 2013, Tunis, Tunisia. p. 93 - p. 94
Conference papers hal-00828059v1

Qualitative properties of 3-step model of anaerobic digestion including hydrolysis of particulate matter

Radhouane Fekih-Salem , Nahla Abdellatif , Tewfik Sari , Jérôme Harmand
International Joint Conference CB-WR-MED Conference/ 2nd AOP' Tunisia Conference for Sustainable Water Management. Tunis, 2013, Tunis, Tunisia. pp.93--94
Conference papers hal-00859567v1

Mathematical modeling of genetic regulatory networks using piecewise-linear models

Tewfik Sari
Network Dynamics, Mar 2013, Montpellier, France. pp.20
Conference papers hal-02598638v1

Quelques résultats sur l’observation du modèle AM2b

Boumediene Benyahia , Brahim Cherki , Jérôme Harmand , Tewfik Sari
11. African Conference on Research in Computer Science and Applied Mathematics. CARI'12, Oct 2012, Algiers, Algérie
Conference papers hal-02745176v1

Analyse et contrôle optimal d’un bioréacteur de dépollution des eaux usées

Amel A. Ghouali , Tewfik Sari , Claude Lobry , Ali Moussaoui , Jérôme Harmand
11ème Colloque Africain sur la Recherche en Informatique en Mathématiques Appliquées (CARI'2012), Oct 2012, Alger, Algérie
Conference papers hal-02597552v1

Extensions of the chemostat model with flocculation

Radhouane Fekih-Salem , Jérôme Harmand , Claude Lobry , Alain Rapaport , Tewfik Sari
LAWOC 2012 - III Latin American Workshop on Optimization and Control, Jan 2012, Valparaiso, Chile
Conference papers hal-02597553v1

Analyse mathématique d'un modèle de digestion anaérobie à trois étapes

Radhouane Fekih-Salem , Nahla Abdellatif , Tewfik Sari , Jérôme Harmand
11. African Conference on Research in Computer Science and Applied Mathematics. CARI'12, Oct 2012, Alger, Algérie. pp.7
Conference papers hal-01190355v1

Extensions du modèle du chemostat en présence d’attachement

Radhouane Fekih-Salem , Alain Rapaport , Tewfik Sari , Claude Lobry , Jérôme Harmand
Les biofilms au service des biotechnologies - Bioénergies, Agro-alimentaire, Environnement, Jan 2012, Narbonne, France
Conference papers hal-02750011v1

Analyse et contrôle optimal d'un bioréacteur de dépollution des eaux usées

Amel Ghouali , Tewfik Sari , Jérôme Harmand , Alain Rapaport , Ali Moussaoui
11ème Colloque Africain pour la Recherche en Informatique et en Mathématiques Appliquées (CARI 2012), Oct 2012, Alger, Algeria. pp.404-411
Conference papers hal-00859573v1

Elastic strips

T. Hangan , Tewfik Sari
Colloque de géométries, Sep 2012, Mulhouse, France
Conference papers hal-02598143v1
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On a three step model of anaerobic digestion including the hydrolysis of particulate matter

R. Fekih-Salem , Nahla Abdellatif , T. Sari , Jérôme Harmand
MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, Jan 2012, Vienne, Austria. 6 p
Conference papers hal-00777559v1

Moyennisation du modèle dynamique de la prolifération du Typha

M.L. Diagne , Tewfik Sari
Oct 2012, Alger, Algérie
Conference papers hal-02597550v1

Quelques résultats sur l’observation du modèle AM2b

Boumédiène Benyahia , Brahim Cherki , Jérôme Harmand , Tewfik Sari
??, 2012, ??, France
Conference papers hal-02597549v1

Analyse mathématique d’un modèle de digestion anaérobie à trois étapes

Radhouane Fekih-Salem , Nahla Abdellatif , Tewfik Sari , Jérôme Harmand
??, 2012, ?, France
Conference papers hal-02597551v1

Analyse et contrôle optimal d'un bioréacteur de dépollution des eaux usées

Amel A. Ghouali , Tewfik Sari , Claude C. Lobry , A. A. Moussaoui , Jérôme J. Harmand
11. African Conference on Research in Computer Science and Applied Mathematics. CARI'12, Oct 2012, Alger, Algérie. 8 p
Conference papers hal-01004349v1

Extension of the Chemostat model with flocculation

Tewfik Sari
3. Latin American Workshop on Optimization and Control (LAWOC2012), Jan 2012, Valparaiso, Chile
Conference papers hal-01000102v1

Extension of the Chemostat model with flocculation

Tewfik Sari
3th Latin American Workshop on Optimization and Control (LAWOC2012), 2012, Valparaiso, Chile
Conference papers hal-00859565v1

Modeling of the Soluble Microbial Products (SMP) in Anaerobic Membrane BioReactors (AMBR) : Equilibria and stability of the AM2b model ?

Boumediene Benyahia , Tewfik Sari , Jérôme Harmand , Brahim Cherki
18th IFAC World Congress, International Federation of Automatic Control (IFAC). Laxenburg, AUT., Aug 2011, Milan, Italy. pp.3789-3794, ⟨10.3182/20110828-6-IT-1002.01195⟩
Conference papers hal-00858578v1

Analyse d'une relation syntrophique : cas d'un chemostat

Miled M. El Hajji , Tewfik Sari , Jerome J. Harmand
5. Colloque sur les Tendances dans les Applications Mathématiques en Tunisie, Algérie, Maroc, Apr 2011, Sousse, Tunisie. pp.451-456
Conference papers hal-01001159v1

La floculation et la coexistence dans le chemostat

Radhouane Fekih-Salem , Tewfik Sari , Alain Rapaport
5ème Colloque sur les Tendances dans les Applications Mathématiques en Tunisie, Algérie, Maroc (TAMTAM), Apr 2011, Sousse, Tunisie
Conference papers hal-02747352v1

Sur un modèle de digestion anaréobie avec dégradation enzymatique du substart sous forme solide

Radhouane Fekih-Salem , Nahla Abdellatif , Tewfik Sari , Jerome J. Harmand
5. Colloque sur les Tendances dans les Applications Mathématiques en Tunisie, Algérie, Maroc, Apr 2011, Sousse, France. pp.457-463
Conference papers hal-00999844v1

Modélisation mathématique d'un bioréacteur membranaire anaérobie

Boumediene Benyahia , Tewfik Sari , Brahim Cherki , Jérôme Harmand
5ème Colloque sur les Tendances dans les Applications Mathématiques en Tunisie, Algérie, Maroc, 2011, Sousse, Tunisie. pp.465-470
Conference papers hal-00858574v1

Modélisation mathématique en biologie : compétition, coexistence et croissance

Tewfik Sari , Nahla Abdellatif , Boumediene Benyahia , Mamadou Lamine Diagne , Miled El Hajji
5ème Colloque sur les Tendances dans les Applications Mathématiques en Tunisie, Algérie, Maroc, 2011, Sousse, Tunisie. pp.19-25
Conference papers hal-00858577v1
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Un modèle mathématique de la prolifération du Typha

Mamadou Lamine Diagne , Papa Ibrahima N'Diaye , Tewfik Sari , Mary Teuw Niane
CARI 2010, Oct 2010, Yamoussoukro, Côte d’Ivoire. pp.277-284
Conference papers inria-00505247v1

A mathematical study of an enzymatic reaction in non homogeneous reactors with substrate and product inhibition: application to cellobiose hydrolysis in a bioreactor with a dead-zone

Ahlem Saddoud , Tewfik Sari , Alain Rapaport , Robert Lortie , Jérôme Harmand
11th International Symposium on Computer Applications in Biotechnology (CAB 2010), Jul 2010, Leuven, Belgium. pp.209-214, ⟨10.3182/20100707-3-BE-2012.0043⟩
Conference papers inria-00505274v1

Equilibria of an anareobic wastewater treatment process and their stability

Boumediene Benyahia Benyahia , Tewfik Sari , Brahim B. Cherki , Jerome J. Harmand
11. CAB 2010 : IFAC International Symposium on Computer Applications in Biotechnology, Jul 2010, Leuven, Belgium. pp.371-376
Conference papers hal-01001163v1
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Sur un modèle de compétition et de coexistence dans le chemostat

Radhouane Fekih-Salem , Tewfik Sari , Nahla Abdellatif
CARI 2010, Oct 2010, Yamoussoukro, Côte d’Ivoire
Conference papers inria-00505254v1

Equilibria of an anaerobic wastewater treatment process and their stability

Boumédiène Benyahia , Tewfik Sari , Brahim Cherki , Jérôme Harmand
11th International Symposium on Computer Applications in Biotechnology (CAB 2010), Jul 2010, Leuven, Belgium. pp.371-376, ⟨10.3182/20100707-3-BE-2012.0049⟩
Conference papers inria-00505262v1
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Sur le modèle AM2 de digestion anaérobie

Boumédiène Benyahia , Tewfik Sari , Brahim Cherki , Jérôme Harmand
CARI 2010, Oct 2010, Yamoussoukro, Côte d’Ivoire. 8 p
Conference papers inria-00505230v1

Stability loss delay in the chemostat with a slowly varying washout rate

Claude Lobry , Alain Rapaport , Tewfik Sari
MATHMOD 2009: 6th Vienna International Conference on Mathematical Modelling, Feb 2009, Vienna, Austria. pp.1582-1586
Conference papers hal-01019296v1
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A search engine for Arabic documents

T. Sari , A. Kefali
Colloque International Francophone sur l'Ecrit et le Document, Oct 2008, France. pp.97-102
Conference papers hal-00334402v1

The peaking phenomenon and singular perturbations

Claude C. Lobry , Tewfik Sari
2007 International Conference in Honor of Claude Lobry, Sep 2007, Saint-Louis, Senegal
Conference papers hal-00999965v1
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The Blasius equation

B. Brighi , A. Fruchard , T. Sari
Colloque à la mémoire d’Emmanuel Isambert, Université de Paris 7, Dec 2007, Paris, France. p. 105 - p. 123
Conference papers hal-00765316v1
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La modélisation de la persistance en écologie

Claude Lobry , Tewfik Sari
Colloque à la mémoire d'Emmanuel Isambert, Université de Paris 7, Dec 2007, Paris, France. pp.163 - 184
Conference papers hal-00824769v1
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The limits of fast and slow symmetric dispersal in single-species discrete diffusion system

Bilel Elbetch , Tounsia Benzekri , Daniel Massart , Tewfik Sari
2nd National Seminaire of Mathematics, Jun 2021, Constantine, Algeria. 2021
Conference poster hal-03264605v1

Diagramme opératoire et performances de deux chémostats en série

Manel Dali Youcef , Alain Rapaport , Tewfik Sari
Ecole CIMPA - Modélisation, Analyse Mathématique et Calcul Scientifique dans la Gestion des Déchets Ménagers, Jul 2019, Kénitra, Maroc. , 2019
Conference poster hal-02789691v1

Diagramme opératoire et performances de deux chémostats en série

Manel Dali Youcef , Alain Rapaport , Tewfik Sari
TAMTAM 2019 : Tendances dans les Applications Mathématiques en Tunisie Algérie Maroc, Feb 2019, Tlemcen, Algérie. , 2019
Conference poster hal-02786798v1
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Coexistence of three predators competing for a single biotic resource

Claude Lobry , Tewfik Sari , Karim Yadi
Jean Lévine and Philippe Müllhaupt. Advances in the Theory of Control, Signals and Systems with Physical Modeling - Part III, Springer, pp.309-321, 2011, Lecture Notes in Control and Information Sciences - 407, 978-3-642-16134-6. ⟨10.1007/978-3-642-16135-3_25⟩
Book sections hal-00486459v1
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The operating diagram of a flocculation model in the chemostat and its dependence on the biological parameters

Radhouane Fekih-Salem , Tewfik Sari
2023
Preprints, Working Papers, ... hal-04327081v1
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A note on the top Lyapunov exponent of linear cooperative systems

Michel Benaïm , Claude Lobry , Tewfik Sari , Édouard Strickler
2023
Preprints, Working Papers, ... hal-04237453v1
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An SIS model in the Chemostat

Hayat Berhoune , Bachir Bar , Mustapha Lakrib , Tewfik Sari
2023
Preprints, Working Papers, ... hal-04293111v1
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Performances study of two serial interconnected chemostats with mortality

Manel Dali Youcef , Alain Rapaport , Tewfik Sari
2022
Preprints, Working Papers, ... hal-03318978v2
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Effect of a biological parameter on the operating diagrams of a three-tiered model of anaerobic digestion

Sarra Nouaoura , Radhouane Fekih-Salem , Tewfik Sari
2022
Preprints, Working Papers, ... hal-03592300v1
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Sensitivity of biological parameters on the operating diagrams for three-tiered model

Sarra Nouaoura , Radhouane Fekih-Salem , Tewfik Sari
2021
Preprints, Working Papers, ... hal-03408160v1
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Mathematical study of a two-stage anaerobic model when the hydrolysis is the limiting step

Mohammed Hanaki , Jérôme Harmand , Zoubida Mghazli , Tewfik Sari , Alain Rapaport
2020
Preprints, Working Papers, ... hal-02531141v2
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Study of performance criteria of serial configuration of two chemostats

Manel Dali Youcef , Alain Rapaport , Tewfik Sari
2020
Preprints, Working Papers, ... hal-02565939v3
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Emergence of coexistence and limit cycles in the chemostat model with flocculation for a general class of functional responses

Radhouane Fekih-Salem , Alain Rapaport , Tewfik Sari
2015
Preprints, Working Papers, ... hal-01121201v1
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Is dispersal always beneficial to carrying capacity? New insights from the multi-patch logistic equation

Roger Arditi , Claude Lobry , Tewfik Sari
2015
Preprints, Working Papers, ... hal-01153368v2
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A model of a syntrophic relationship between two microbial species in a chemostat including maintenance

Tewfik Sari , Jérôme Harmand
2015
Preprints, Working Papers, ... hal-01026149v2
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Extensions of the chemostat model with flocculation

Radhouane Fekih-Salem , Jérôme Harmand , Claude Lobry , Alain Rapaport , Tewfik Sari
2011
Preprints, Working Papers, ... hal-00604633v3
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Global dynamics of the chemostat with variable yields

Tewfik Sari
2010
Preprints, Working Papers, ... hal-00459923v1
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Analysis of a mathematical model of syntrophic bacteria in a chemostat

Tewfik Sari , Miled El Hajji , Jérôme Harmand
2010
Preprints, Working Papers, ... hal-00487189v2
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As many antipodes as vertices on some convex polyhedra

Joël Rouyer , Tewfik Sari
2009
Preprints, Working Papers, ... hal-00465063v1
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La modélisation de la persistance en écologie

Claude Lobry , Tewfik Sari
2009
Preprints, Working Papers, ... hal-00408165v1
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Dynamic saddle-node bifurcation in a class of slow and fast predator-prey models

Hafida Boudjellaba , Tewfik Sari
2008
Preprints, Working Papers, ... hal-00270315v1
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On the Blasius Problem

Bernard Brighi , Augustin Fruchard , Tewfik Sari
2008
Preprints, Working Papers, ... hal-00114834v2
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Stability loss delay in a class of slow and fast ecological models

Hafida Boudjellaba , Tewfik Sari
2007
Preprints, Working Papers, ... hal-00163654v1
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Averaging Theorems for Ordinary Differential Equations and Retarded Functional Differential Equations

Mustapha Lakrib , Tewfik Sari
2006
Preprints, Working Papers, ... hal-00115539v1
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Ecole chercheurs Modèles ressources-consommateurs

Bertrand Cloez , Simon Boudsocq , Thomas Koffel , Jérôme Harmand , Claude Lobry
École thématique. Modèles Ressources-Consommateurs, Montpellier, France. 2015
Lectures cel-01206385v2