5 papers
Dynamics of Two Species with Density-Dependent Interactions in a Mutualistic Context
Chloë Mian, Sylvain Billiard, Violaine Llaurens +1
Mutualistic interactions, where individuals from different species can benefit from each other, are widespread across ecosystems. This study develops a general deterministic model…
When evolution realizes large deviations of fitness: from speciation to dynamical phase transitions
Sara Dal Cengio, Quentin Laurenceau, Vivien Lecomte +2
We explore the connection between evolution and large-deviation theory. To do so, we study evolutionary dynamics in which individuals experience mutations, reproduction, and select…
The tournament ratchet's clicktime process, and metastability in a Moran model
Jan Lukas Igelbrink, Charline Smadi, Anton Wakolbinger
Muller's ratchet, in its prototype version, models a haploid, asexual population whose size~ is constant over the generations. Slightly deleterious mutations are acquired along…
Muller's ratchet in a near-critical regime: tournament versus fitness proportional selection
Jan Lukas Igelbrink, Adrián González Casanova, Charline Smadi +1
Muller's ratchet, in its prototype version, models a haploid, asexual population whose size~ is constant over the generations. Slightly deleterious mutations are acquired along…
Spinal study of a population model for colonial species with interactions and environmental noise
Sylvain Billiard, Charles Medous, Charline Smadi
We introduce and study a stochastic model for the dynamics of colonial species, which reproduce through fission or fragmentation. The fission rate depends on the relative sizes of…