20 citations · 52 across the 17 of their papers we have counts for
22 papers
Propagation or extinction in bistable equations: the non-monotone role of initial fragmentation
Matthieu Alfaro, François Hamel, Lionel Roques
In this paper, we investigate the large-time behavior of bounded solutions of the Cauchy problem for a reaction-diffusion equation in with bistable reaction term. We…
Adaptation in a heterogeneous environment II: To be three or not to be
M. Alfaro, F. Hamel, F. Patout +1
We propose a model to describe the adaptation of a phenotypically structured population in a -patch environment connected by migration, with each patch associated with a differe…
Spatial statistics and stochastic partial differential equations: a mechanistic viewpoint
Lionel Roques, Denis Allard, Samuel Soubeyrand
The Stochastic Partial Differential Equation (SPDE) approach, now commonly used in spatial statistics to construct Gaussian random fields, is revisited from a mechanistic perspecti…
The emergence of a birth-dependent mutation rate: causes and consequences
Florian Patout, R Forien, M Alfaro +2
In unicellular organisms such as bacteria and in most viruses, mutations mainly occur during reproduction. Thus, genotypes with a high birth rate should have a higher mutation rate…
When the Allee threshold is an evolutionary trait: persistence vs. extinction
Matthieu Alfaro, Léo Girardin, Francois Hamel +1
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 g…
Adaptation in a heterogeneous environment. I: Persistence versus extinction
François Hamel, Florian Lavigne, Lionel Roques
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 adapt…