Special Session 65: 

Propagation dynamics of a time periodic and delayed reaction-diffusion model without quasi-monotonicity

Zhi-Cheng Wang
Lanzhou University
Peoples Rep of China
Co-Author(s):    Liang Zhang, Xiao-Qiang Zhao
Abstract:
In this talk we consider a time periodic non-monotone and nonlocal delayed reaction-diffusion population model with stage structure. We first prove the existence of the asymptotic speed $c^*$ of spread by virtue of two auxiliary equations and comparison arguments. We then establish the existence of time periodic traveling wave solutions with speed $c\geq c^*$. Finally, we obtain the nonexistence of traveling wave solutions for speed $c