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pro vyhledávání: '"Boutillon, Nathanaël"'
Autor:
Boutillon, Nathanaël
We consider a nonlocal Fisher-KPP equation that models a population structured in space and in phenotype. The population lives in a heterogeneous periodic environment: the diffusion coefficient, the mutation coefficient and the fitness of an individu
Externí odkaz:
http://arxiv.org/abs/2410.01342
Autor:
Boutillon, Nathanaël, Rossi, Luca
We consider a reaction-diffusion model for a population structured in phenotype. We assume that the population lives in a heterogeneous periodic environment, so that a given phenotypic trait may be more or less fit according to the spatial location.
Externí odkaz:
http://arxiv.org/abs/2409.20118
Autor:
Boutillon, Nathanaël
We consider an elliptic operator in which the second-order term is very small in one direction. In this regime, we study the behaviour of the principal eigenfunction and of the principal eigenvalue. Our first result deals with the limit of the princi
Externí odkaz:
http://arxiv.org/abs/2311.12232
Autor:
Boutillon, Nathanaël
We study a variant of the Fisher-KPP equation with nonlocal dispersal. Using the theory of large deviations, we show the emergence of a "Bramson-like" logarithmic delay for the linearised equation with step-like initial data. We conclude that the log
Externí odkaz:
http://arxiv.org/abs/2204.06593
Autor:
Boutillon, Nathanaël
Publikováno v:
In Nonlinear Analysis March 2024 240
Autor:
Boutillon, Nathanaël
We study a variant of the Fisher-KPP equation with nonlocal dispersal. Using the theory of large deviations, we show the emergence of a "Bramson-like" logarithmic delay for the linearised equation with step-like initial data. We conclude that the log
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aaa4545e3e5c34b5a1b2d4c370e26f1a
http://arxiv.org/abs/2204.06593
http://arxiv.org/abs/2204.06593