Author

S. Madec

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Preprint Sep 2026

A system-centered probabilistic formalism linking multiple equilibria and biodiversity in ecological and evolutionary models

Ecological and evolutionary communities do not always settle into a single predictable configuration. Models such as Lotka-Volterra or replicator dynamics may predict several admissible states. The multiplicity of such states is central to understanding robustness, alternative community configurations, coexistence, and...

Hiba Nassor, Hermine Biermé, E. Herniou et al. · 0 citations

Preprint Aug 2026

Backward bifurcations in spatial replicator models:when invasion criteria fail to predict coexistence

The replicator equation is a central framework for studying frequency--dependent selection in ecology and evolutionary game theory. In well-mixed populations, the long-term outcome of a two-species system is determined by the signs of the pairwise invasion fitnesses, leading to dominance, coexistence, or bistability. H...

T. Freire, Erida Gjini, S. Madec · 0 citations