Workshops

Co-existence and traveling wave solutions of the diffusive Lotka-Volterra system of three competing species

98
reads
Workshops

Chiun-Chuan Chen

2013-10-22
10:10:00 - 11:00:00

,

We study the coexistence problem when a third species w invades an eco-system consisting of two species u and v, where u, v and w compete with one another. Even if the influence of w on u and v is quite small under suitable conditions, we show that the three species can co-existence as a traveling wave on the real line R. Our approach uses the results by Berestycki et al.(2009) and provides a method to construct 3-species non-monotone traveling wave solutions. This is a joint work with Chueh-Hsin Chang, Li-Chang Hung, Masayasu Mimura and Toshiyuki Ogawa.