Lotka-Volterra system is a well-known ecological model studied in competition, cooperation, and prey-predator relations. In this talk, we will establish a new maximum principle for diffusive Lotka-Volterra system of two species by applying elementary approaches. In particular, this maximum principle could help us to investigate some cases of diffusive Lotka-Volterra model of three competitive species.

 

Reference:

[1] Chen, Chiun-Chuan and Hung, Li-Chang, A maximum principle for diffusive Lotka-Volterra system of two species, JDE (2016)