Weak Interaction between Traveling Waves in the Three-species Competition-diffusion Systems

Chueh-Hsin Chang

Department of Applied Mathematics

Tunghai University

changjuexin@thu.edu.tw

    In this talk we consider the weakly interaction between two traveling wave solutions of the threes-species Lotka-Volterra competition-diffusion systems. Each of the two traveling wave solutions has one trivial component (called trivial waves). By the asymptotic behavior of the trivial waves and the existence results of the two-species traveling waves, we can observe the dynamics of the distance between the two trivial waves. We proved that there exists an unstable three-species traveling wave solution which is close to the two trivial waves. This is a joint work with Prof. Chiun-Chuan Chen and Prof. Shin-Ichiro Ei.

Keyword: Lotka-Volterra system, traveling wave solution