3 papers
math.AP2024
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…
math.AP2021
Front propagation of a sexual population with evolution of dispersion: a formal analysis
Léonard Dekens, Florian Lavigne
The adaptation of biological species to their environment depends on their traits. When various biological processes occur (survival, reproduction, migration, etc.), the trait dist…
math.AP2020
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…