Special Session 44: 

Time periodic traveling waves for a periodic nonlocal dispersal model with delay

Shiliang Wu
Xidian University
Peoples Rep of China
Co-Author(s):    Ming-di Huang
Abstract:
This talk is concerned with the time periodic traveling waves of a periodic nonlocal dispersal equation with delay. In the quasi-monotone case, we establish the exponential stability of all non-critical periodic traveling fronts. The exponential decay rate is also given. Then, we prove the uniqueness of all non-critical periodic traveling waves of the equation with or without quasi-monotone condition.