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20132026
most citedStochastic individual-based models with power law mutation rate on a general finite trait space

9 citations · 34 across the 22 of their papers we have counts for

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6 papers · 1 filter

q-bio.PE2026

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…

q-bio.PE2025

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…

q-bio.PE2019

A stochastic individual based model for the growth of a stand of Japanese knotweed including mowing as a management technique

François Lavallée, Charline Smadi, Isabelle Alvarez +4

Invasive alien species are a growing threat for environment and health. They also have a major economic impact, as they can damage many infrastructures. The Japanese knotweed (Fall…

q-bio.PE2017

Looking for the right mate in diploid species: how dominance relationships affect population differentiation in sexual trait?

Charline Smadi, Helene Leman, Violaine Llaurens

Divergence between populations for a given trait can be driven by natural or sexual selection, interacting with migration behaviour. Mating preference for different phenotypes can…

q-bio.PE2016

Stochastic dynamics of three competing clones: Conditions and times for invasion, coexistence and fixation

Sylvain Billiard, Charline Smadi

In large clonal populations, several clones generally compete which results in complex evolutionary and ecological dynamics: experiments show successive selective sweeps of favorab…

q-bio.PE2016

A stochastic model for speciation by mating preferences

Camille Coron, Manon Costa, Hélène Leman +1

Mechanisms leading to speciation are a major focus in evolutionary biology. In this paper, we present and study a stochastic model of population where individuals, with type a or A…