Special Session 32: Propagation Dynamics in Nonlocal Dispersal Systems

The propagation dynamics for three species competitive-cooperative reaction-diffusion systems

Yan Li
Xidian University
Peoples Rep of China
Co-Author(s):    Xiaoqiang Zhao
Abstract:
In this talk, we will introduce the sign of bistable wave speed and spreading properties of solutions for a class of three species competitive-cooperative reaction-diffusion systems. We first establish sufficient conditions for a species to be the winner, and then show that the species with large invasion speed can always establish a wave moving into open space with its own speed, while the others will be driven out or invade successfully, depending on the parameters, at a lower speed. This is the co-work with professor Xiaoqiang Zhao in Memorial University of Newfoundland.