Mirrahimi Lab

National Centre for Scientific Research (CNRS)

Ile-de-France (FR1) · France

ERC-funded
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ERC Consolidator Grant · 2024

MUlti-Scale models of Eco-evolutionary popUlation dynaMics

The goal of MUSEUM is to develop robust methods for the asymptotic analysis of unconventional multi-scale integro-differential equations from evolutionary biology and their connection with stochastic processes. These equations involve nonstandard nonlinear integral terms and, under specific conditions of small variance and long time, exhibit solutions that concentrate around one or multiple evolving points. We will develop new methods for the asymptotic analysis of models with nonlinear reproduction operators, in the regime of small variance. In these models, the nonlinearity of the reproduction operator comes from sexual reproduction, involving two parents, as opposed to asexual…

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