Ce jeudi 27 mars 2025, l’Université Le Havre Normandie accueillera un exposé de Zhenkun Wang, chercheur à l’Université des Sciences et Technologies de Chine. Ce dernier se tiendra à partir de 15h00 dans la salle G001 de l’UFR Sciences et Techniques.
Dans le cadre de sa présentation, intitulée Threshold Dynamics of an Impulsive PDE Model with Habitat Shift Driven by Climate Change, M. Wang abordera l’impact du changement climatique sur la persistance et la propagation des populations animales.
Résumé :
Persistence or extinction of moving animal species is a fundamental question in spatial ecology. This paper focuses on the impact of habitat shift driven by climate change on the persistence and propagation of a population with birth pulse. We first present a class of impulsive reaction-diffusion models with heterogeneous nonlinear reaction in high-dimensional space and study their threshold dynamics. We provide the persistence criterion of the system in bounded domains, and prove the existence, uniqueness and global attraction of a positive steady state. Then we extend the results from bounded domains to the whole space. Our results indicate how the speed of the shifting habitat edge and impulsive reproduction (or harvesting) rate determine the persistence and extinction of the population. Numerical simulations are presented to illustrate the theoretical results.
