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math.AP2019
Asymptotic analysis of selection-mutation models in the presence of multiple fitness peaks
Tommaso Lorenzi, Camille Pouchol
We study the long-time behaviour of phenotype-structured models describing the evolutionary dynamics of asexual species whose phenotypic fitness landscape is characterised by multi…
math.AP2019
Hele-Shaw limit for a system of two reaction-(cross-)diffusion equations for living tissues
Federica Bubba, Benoît Perthame, Camille Pouchol +1
Multiphase mechanical models are now commonly used to describe living tissues including tumour growth. The specific model we study here consists of two equations of mixed parabolic…
math.AP2018★ 4 cited
On the stability of the state 1 in the non-local Fisher-KPP equation in bounded domains
Camille Pouchol
We consider the non-local Fisher-KPP equation on a bounded domain with Neu-mann boundary conditions. Thanks to a Lyapunov function, we prove that under a general hypothesis on the…