Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Léculier, Alexis"'
How does the interplay between selection, mutation and horizontal gene transfer modify the phenotypic distribution of a bacterial or cell population? While horizontal gene transfer, which corresponds to the exchange of genetic material between indivi
Externí odkaz:
http://arxiv.org/abs/2301.09341
Autor:
Léculier, Alexis, Nguyen, Nga
In this paper, we introduce a control strategy for applying the Sterile Insect Technique (SIT) to eliminate the population of Aedes mosquitoes which are the vectors of various deadly diseases like dengue, zika, chikungunya... in a wide area. We use a
Externí odkaz:
http://arxiv.org/abs/2211.07701
Autor:
Leculier, Alexis, Roux, Pierre
Following previous works about integro-differential equations of parabolic type modelling the Darwinian evolution of a population, we study a two-population system in the cooperative case. First, we provide a theoretical study of the limit of rare mu
Externí odkaz:
http://arxiv.org/abs/2112.01093
In order to prevent the propagation of human diseases transmitted by mosquitoes (such as dengue or zika), one possible solution is to act directly on the mosquito population. In this work, we consider an invasive species (the mosquitoes) and we study
Externí odkaz:
http://arxiv.org/abs/2106.11252
Autor:
Léculier, Alexis, Mirrahimi, Sepideh
In this work, we provide an asymptotic analysis of the solutions to an elliptic integro-differential equation. This equation describes the evolutionary equilibria of a phenotypically structured population, subject to selection, mutation, and both loc
Externí odkaz:
http://arxiv.org/abs/2103.09634
The question studied here is the existence and uniqueness of a non-trivial bounded steady state of a Fisher-KPP equation involving a fractional Laplacian (--$\Delta$)^$\alpha$ in a domain with Dirichlet conditions outside of the domain. More specific
Externí odkaz:
http://arxiv.org/abs/2004.14771
We provide an asymptotic analysis of a fractional Fisher-KPP type equation in periodic non-connected 1-dimensional media with Dirichlet conditions outside the domain. After demonstrating the existence and uniqueness of a non-trivial bounded stationar
Externí odkaz:
http://arxiv.org/abs/1905.04880
Autor:
Léculier, Alexis
We provide an asymptotic analysis of a non-local Fisher-KPP type equation in periodic media and with a non-local stable operator of order $\alpha$ $\in$ (0, 2). We perform a long time-long range scaling in order to prove that the stable state invades
Externí odkaz:
http://arxiv.org/abs/1804.09938
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