NCKU Math Colloquium / RCTS Seminar

DATE2015-05-28 16:10-17:00


SPEAKER陳俊全 教授(台大數學系

TITLETraveling Wave Solutions of the Three Species Lotka-Volterra Competition-Diffusion System

ABSTRACT Abstract The three species Lotka-Volterra competition-diffusion model reveals much richer phenomena than the two species model. This talk is mainly concerned with a new type of non-monotone traveling wave solutions of the three species system. Numerical simulation indicates that these waves can be used to construct new dynamical patterns of solutions and provide a new mechanism for co-existence of the species. Therefore how to theoretically establish the existence of such waves is an important issue. In this talk, we will show how to construct these non-monotone waves by the method of exact solutions as well as by perturbation theory. These are joint work with CH Chang, LC Hung, M. Mimura, T. Ogawa, M. Tohma and D. Ueyama.