Special Session 31: 

Transition waves of lattice KPP equations in heterogeneous media

Feng Cao
Nanjing University of Aeronautics and Astronautics
Peoples Rep of China
Co-Author(s):    Wenxian Shen
Abstract:
The study of front propagation dynamics of Fisher-KPP type equations with general time and/or space dependence is attracting more and more attention due to the presence of general time and space variations in real world problems. In this talk, we investigate the stability and uniqueness of transition wave solutions of lattice Fisher-KPP equations with general time and space dependence and discuss the applications on the existence, stability and uniqueness of periodic traveling wave solutions of lattice Fisher-KPP equations in time and space periodic media, and the existence, stability and uniqueness of transition wave solutions of lattice Fisher-KPP equations in time heterogeneous media.