Sten Madec

Publications

Article dans une revue (16)

Inference of Pairwise Interactions from Strain Frequency Data Across Settings and Context-Dependent Mutual Invasibilities Thi Minh Thao Le,Sten Madec,Erida Gjini Bulletin of Mathematical Biology, 2025, 87 (6), pp.82. ⟨10.1007/s11538-025-01450-0⟩ Article dans une revue hal-05333206v1
Unpacking fitness differences between two invaders in a multispecies context Tomas Ferreira Amaro Freire,Sten Madec,Erida Gjini Bulletin of Mathematical Biology, 2025, 87 (9), pp.120. ⟨10.1007/s11538-025-01491-5⟩ Article dans une revue hal-05333212v1
Towards a mathematical understanding of invasion resistance in multispecies communities Erida Gjini,Sten Madec Royal Society Open Science, 2023, 10 (11), ⟨10.1098/rsos.231034⟩ Article dans une revue hal-05333193v1
Spatiotemporal Evolution of Coinfection Dynamics: A Reaction–Diffusion Model Thi Minh Thao Le,Sten Madec Journal of Dynamics and Differential Equations, 2023, 37 (1), pp.317-362. ⟨10.1007/s10884-023-10285-z⟩ Article dans une revue hal-03467201v1
Quasi-neutral Dynamics in a Coinfection System with N Strains and Asymmetries along Multiple Traits Thi Minh Thao Le,Erida Gjini,Sten Madec Journal of Mathematical Biology, 2023, 87 (3), pp.48. ⟨10.1007/s00285-023-01977-7⟩ Article dans une revue hal-03196601v1
Disentangling how multiple traits drive 2 strain frequencies in SIS dynamics with coinfection Thi Minh Thao Le,Sten Madec,Erida Gjini Journal of Theoretical Biology, 2022, 538, pp.111041. ⟨10.1016/j.jtbi.2022.111041⟩ Article dans une revue hal-03212597v1
Coexistence near neutrality Erida Gjini,Sten Madec LE STUDIUM Multidisciplinary Journal, 2021, 5, pp.40-43. ⟨10.34846/le-studium.230.04.fr.07-2021⟩ Article dans une revue hal-04198384v1
The key to complexity in interacting systems with multiple strains Erida Gjini,Sten Madec Ecology and Evolution, 2021, 11 (13), pp.8456-8474. ⟨10.1002/ece3.7259⟩ Article dans une revue hal-02470047v1
Predicting N-strain coexistence from co-colonization interactions: epidemiology meets ecology and the replicator equation Sten Madec,Erida Gjini Bulletin of Mathematical Biology, 2020, 82, pp.article number 142. ⟨10.1007/s11538-020-00816-w⟩ Article dans une revue hal-02470043v1
Comparison of the global dynamics for two chemostat-like models: random temporal variation versus spatial heterogeneity Gabriel Lagasquie,Sten Madec Nonlinear Analysis: Hybrid Systems, 2020, 35, pp.100815. ⟨10.1016/j.nahs.2019.100815⟩ Article dans une revue hal-01824937v2
Bistability induced by generalist natural enemies can reverse pest invasions Sten Madec,Jérôme Casas,Guy Barles,Christelle Suppo Journal of Mathematical Biology, 2017, 75 (3), pp.543-575. ⟨10.1007/s00285-017-1093-x⟩ Article dans une revue hal-01194895v2
A slow-fast dynamic decomposition links neutral and non-neutral coexistence in interacting multi-strain pathogens Erida Gjini,Sten Madec Theoretical Ecology, 2016, 10 (1), pp.129-141. ⟨10.1007/s12080-016-0320-1⟩ Article dans une revue hal-01342432v1
Global behavior of N competing species with strong diffusion: diffusion leads to exclusion François Castella,Sten Madec,Yvan Lagadeuc Applicable Analysis, 2016, 95 (2), pp.341-372. ⟨10.1080/00036811.2015.1004320⟩ Article dans une revue hal-01026195v1
Coexistence phenomena and global bifurcation structure in a chemostat-like model with species-dependent diffusion rates François Castella,Sten Madec Journal of Mathematical Biology, 2014, 68 (1-2), pp.377-415. ⟨10.1007/s00285-012-0633-7⟩ Article dans une revue hal-00777025v1
Singularly perturbed elliptic system modelling the competitive interactions for a single resource Arnaud Ducrot,Sten Madec Mathematical Models and Methods in Applied Sciences, 2013, pp.1939-1977 Article dans une revue hal-00992771v1
A multi-structured epidemic problem with direct and indirect transmission in heterogeneous environments Sten Madec,Cédric Wolf Journal of Biological Dynamics, 2012, 6 (2), pp.235-266. ⟨10.1080/17513758.2011.553392⟩ Article dans une revue hal-00739073v1

Pré-publication, Document de travail (4)

Multi-strain SIS dynamics with coinfection under host population structure Sten Madec,Nicola Cinardi,Erida Gjini 2026 Pré-publication, Document de travail hal-05483195v1
Derivation of a spatial replicator system with environmental heterogeneity from a co-colonization SIS model with N strains and P patches Sten Madec,Erida Gjini 2025 Pré-publication, Document de travail hal-05333887v1
Multi-strain SIS dynamics with coinfection across heterogeneous patches Miguel Marôco,Louis Pailloncy,Sten Madec,Erida Gjini 2025 Pré-publication, Document de travail hal-05338743v1
Understanding the invader-driven replicator dynamics Thi Minh Thao Le,Marina Garcia-Romero,Joao Duarte Âlcantara Galvao,Sten Madec,Erida Gjini 2025 Pré-publication, Document de travail hal-05333221v1

Rapport (1)

How host contact network impacts &lt;i&gt;N&lt;/i&gt; -strain SIS dynamics with coinfection via a global replicator equation Nicola Cinardi,Sten Madec,Erida Gjini Institut Denis Poisson - Université d'Orléans - Université de Tours - CNRS. 2026 Rapport hal-05483399v1

Thèse (1)

Hétérogénéité spatiale en dynamique des populations Sten Madec Mathématiques [math]. Université Rennes 1, 2011. Français. ⟨NNT : ⟩ Thèse tel-00600942v2