9 papers
A system-centered probabilistic formalism linking multiple equilibria and biodiversity in ecological and evolutionary models
Hiba Nassor, Hermine Biermé, Elisabeth Herniou +1
Ecological and evolutionary communities do not always settle into a single predictable configuration. Models such as Lotka-Volterra or replicator dynamics may predict several admis…
Backward bifurcations in spatial replicator models:when invasion criteria fail to predict coexistence
Tomas Freire, Erida Gjini, Sten Madec
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…
Multi-strain SIS dynamics with coinfection under host population structure
Sten Madec, Nicola Cinardi, Erida Gjini
Coinfection phenomena are common in nature, yet there is a lack of analytical approaches for coinfection systems with a high number of circulating and interacting strains. In this…
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
The interplay between local and regional processes in the dynamics of ecological communities remains a challenge to model, analyze and predict. This is especially notable in infect…
Understanding the invader-driven replicator dynamics
Thi Minh Thao Le, Marina Garcia-Romero, Joao Duarte Âlcantara Galvao +2
In this paper, we study a special case of the invasion fitness matrix in a replicator equation: the invader-driven case. In this replicator, each species is defined by its unique a…
Quasi-neutral Dynamics in a Coinfection System with N Strains and Asymmetries along Multiple Traits
Thi Minh Thao Le, Erida Gjini, Sten Madec
Understanding the interplay of different traits in a co-infection system with multiple strains has many applications in ecology and epidemiology. Because of high dimensionality and…