4 papers
Mutant invasion in stochastic individual-based models with cyclic resident dynamics
Sylvain Billiard, Chloë Mian, Charline Smadi +1
When a resident community oscillates, can a rare mutant invade, and with which probability? We study a multitype birth-and-death process with interactions, in which population size…
Dynamics of Two Species with Density-Dependent Interactions and Application to Mutualism
Chloë Mian, Sylvain Billiard, Violaine Llaurens +1
Ecological interactions shape the dynamics of natural populations in the wild. Density-dependent processes are widespread and may change the respective effects of populations on on…
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…
An individual-based stochastic model reveals strong constraints on allometric relationships with minimal metabolic and ecological assumptions
Sylvain Billiard, Virgile Brodu, Nicolas Champagnat +1
We design a stochastic individual-based model structured in energy, for single species consuming an external resource, where populations are characterized by a typical energy at bi…