Zobrazeno 1 - 10
of 224
pro vyhledávání: '"Roques, Lionel"'
In this study, we propose a novel model describing the coevolution between hosts and pathogens, based on a non-local partial differential equation formalism for populations structured by phenotypic traits. Our objective with this model is to illustra
Externí odkaz:
http://arxiv.org/abs/2409.02541
Autor:
Haond, Marjorie, Morel-Journel, Thibaut, Lombaert, Eric, Vercken, Elodie, Mailleret, Ludovic, Roques, Lionel
Publikováno v:
Peer Community Journal, Vol 1, Iss , Pp - (2021)
Finding general patterns in the expansion of natural populations is a major challenge in ecology and invasion biology. Classical spatio-temporal models predict that the carrying capacity (K) of the environment should have no influence on the speed (v
Externí odkaz:
https://doaj.org/article/ed18eed5f06f4ed09a884ce3dc66fcca
Publikováno v:
Discrete and Continuous Dynamical Systems - Series S, 2024, 17 (4), pp.1460-1484
In this paper, we investigate the large-time behavior of bounded solutions of the Cauchy problem for a reaction-diffusion equation in $\mathbb{R}^N$ with bistable reaction term. We consider initial conditions that are chiefly indicator functions of b
Externí odkaz:
http://arxiv.org/abs/2304.00828
The Stochastic Partial Differential Equation (SPDE) approach, now commonly used in spatial statistics to construct Gaussian random fields, is revisited from a mechanistic perspective based on the movement of microscopic particles, thereby relating ps
Externí odkaz:
http://arxiv.org/abs/2111.05724
We consider a nonlocal parabolic equation describing the dynamics of a population structured by a spatial position and a phenotypic trait, submitted to dispersion , mutations and growth. The growth term may be of the Fisher-KPP type but may also be s
Externí odkaz:
http://arxiv.org/abs/2009.09657
Raw data on the cumulative number of deaths at a country level generally indicate a spatially variable distribution of the incidence of COVID-19 disease. An important issue is to determine whether this spatial pattern is a consequence of environmenta
Externí odkaz:
http://arxiv.org/abs/2007.08002
Understanding how a diversity of plants in agroecosystems affects the adaptation of pathogens in a key issue in agroecology. We analyze PDE systems describing the dynamics of adaptation of two phenotypically structured populations, under the effects
Externí odkaz:
http://arxiv.org/abs/2005.09869
Publikováno v:
MDPI Biology 2020, 9(5), 97
The first cases of COVID-19 in France were detected on January 24, 2020. The number of screening tests carried out and the methodology used to target the patients tested do not allow for a direct computation of the real number of cases and the mortal
Externí odkaz:
http://arxiv.org/abs/2003.10720
We analyze a nonlocal PDE model describing the dynamics of adaptation of a phenotypically structured population, under the effects of mutation and selection, in a changing environment. Previous studies have analyzed the large-time behavior of such mo
Externí odkaz:
http://arxiv.org/abs/2002.09542