HALKETT , Fabien

A significant class of plant pathogens is constituted by biotrophic fungi. They set up long-term feeding relationships with their hosts. This kind of parasitism decreases competitive abilities of plants in natural environments and reduces yields in agricultural systems. Therefore, it is relevant to develop and validate mathematical models which...

This paper studies a zero-sum state-feedback game for a system of nonlinear ordinary differential equations describing one-seasonal dynamics of two biotrophic fungal cohorts within a common host plant. From the perspective of Adaptive Dynamics, the cohorts can be interpreted as resident and mutant populations. The invasion functional takes the...

International audience

Les organismes vivants tirent leurs ressources de l'environnement et les allouent aux différentes fonctions biologiques assurant leur développement (e.g. : croissance, survie, reproduction). La quantité de ressources disponibles dans un environnement étant finie voir souvent limitante, les individus doivent faire des compromis au niveau de...

Growing genetically resistant plants allows pathogen populations to be controlled and reduces the use of pesticides. However, pathogens can quickly overcome such resistance. In this context, how can we achieve sustainable crop protection? This crucial question has remained largely unanswered despite decades of intense debate and research...