Special Session 28: 

Stability of traveling wavefronts for a discrete diffusive competition system

Cheng-Hsiung Hsu
National Central University
Taiwan
Co-Author(s):    Guang-Sheng Chen and Shi-Liang Wu
Abstract:
This talk is concerned with the nonlinear stability of monostable traveling wavefronts for a discrete three species competition diffusion system. Applying the the weighted energy method combining with the comparison principle, we rst show that the traveling wavefronts with large speed are exponentially stable when the initial perturbation around the traveling wave decays exponentially. Then, choosing different weight function, we improve the stability result to any traveling wavefronts with speed greater than the critical wave speed.