5 papers
Thresholds, fragmentation and symmetrization in parabolic equations
Matthieu Alfaro, Yihong Du, François Hamel +1
This paper is mainly concerned with the large-time dynamics of bounded nonnegative solutions of reaction-diffusion equations on the real line with nonlinearities mainly of the bist…
Explicit pulsating fronts and minimal speeds in periodic Fisher-KPP equations
Lionel Roques
We study a Fisher-KPP equation with spatially periodic diffusion and reaction terms. We identify a class of periodic media for which the equation admits an explicit, closed-form so…
Existence of two thresholds in a bistable equation with nonlocal competition
Matthieu Alfaro, Cédric Chane Ki Chune, Lionel Roques
We consider a nonlocal bistable reaction-diffusion equation, which serves as a model for a population structured by a phenotypic trait, subject to mutation, trait-dependent fitness…
Mechanistic-statistical inference of mosquito dynamics from mark-release-recapture data
Nga Nguyen, Olivier Bonnefon, René Gato +2
Biological control strategies against mosquito-borne diseases--such as the sterile insect technique (SIT), RIDL, and Wolbachia-based releases--require reliable estimates of dispers…
A host-pathogen coevolution model. Part I: Run straight for your life
Matthieu Alfaro, Florian Lavigne, Lionel Roques
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 structu…