output
20082025
most citedOscillations in the expression of a self-repressed gene induced by a slow transcriptional dynamics

28 citations

8 papers

math.PR2025

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…

math.DS2019

Convergence of knowledge in a cultural evolution model with population structure, random social learning and credibility biases

Sylvain Billiard, Maxime Derex, Ludovic Maisonneuve +1

Understanding how knowledge is created and propagates within groups is crucial to explain how human populations have evolved through time. Anthropologists have relied on different…

q-bio.PE2019★ 8 cited

Identifying conversion efficiency as a key mechanism underlying food webs evolution : a step forward, or backward ?

Coralie Fritsch, Sylvain Billiard, Nicolas Champagnat

Body size or mass is one of the main factors underlying food webs structure. A large number of evolutionary models have shown that indeed, the adaptive evolution of body size (or m…

q-bio.PE2017

Rejuvenating functional responses with renewal theory

S. Billiard, V. Bansaye, J. -R. Chazottes

Functional responses are widely used to describe interactions and resources exchange between individuals in ecology. The form given to functional responses dramatically affects the…

math.PR2016

Stochastic dynamics for adaptation and evolution of microorganisms

Sylvain Billiard, Pierre Collet, Régis Ferrière +2

We present a model for the dynamics of a population of bacteria with a continuum of traits, who compete for resources and exchange horizontally (transfer) an otherwise vertically i…

q-bio.PE2016

Perennial life-histories and demographic advantages may play contradictory roles in the evolution of plant mating systems

Diala Abu Awad, Viet-Chi Tran, Sylvain Billiard

When predicting the fate and consequences of recurring deleterious mutations in self-fertilising populations most models developed make the assumption that populations have discret…