Abstract
In this talk, I shall report our recent progress on two SIS epidemic reaction-diffusion models with nonlinear infection mechanism. We observe some novel spatial profiles of population distribution through examining the asymptotic behaviors of the endemic equilibrium as the movement rates of the susceptible and infected individuals are restricted to be small. Numerical simulations are performed to support and complement our theoretical findings. The results in one-dimensional space are based on joint work with Zhi-An Wang, Guanghui Zhang and Maolin Zhou, and the results in higher-dimensional space are based on joint work with Rachidi Salako and Yixiang Wu.
