Special Session 119: PDEs and Variational Problems in Physical and Biological Sciences

Stable spikes for some reaction diffusion systems modeling color pattern formation and consumer chain
Weiwei Ao
Wuhan University
Peoples Rep of China
Co-Author(s):    
Abstract:
In this talk, we will consider some reaction diffusion system with three components: one is a system for color pattern formation with two activators and one inhibitor, the other is consumer chain model which contains one consumer feeding on the producer and a second consumer feeding on the first consumer. We prove rigorous results on the existence and stability of some spikes solutions for these two models.