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

A system-centered probabilistic formalism is introduced that captures this hidden structure of community structure and could be applied across a wide range of ecological and evolutionary dynamical models, drawing inspiration from hurdle and zero-inflated models.

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