版权所有：中国人民大学数学科学研究院 地址：北京市海淀区中关村大街59号人民大学 电话：62519572
邮箱：math@ruc.edu.cn 邮编：100872
Speaker：Dr. Huicong Li, East China Normal University
Title: On a diffusive SIS epidemic model with varying total population
Time：2017-05-11, 16:45-17:45
Venue：Room 316 of Environment Building, Renmin University
Abstract: We consider an SIS epidemic reaction-diffusion system with a linear source in spatially heterogeneous environment. The main feature of our model lies in that its total population varies, compared to its counterpart proposed by Allen et al (Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model, Discrete Contin. Dyn. Syst., 21 (2008), 1--20). The uniform bounds of solutions are derived, based on which, the threshold dynamics in terms of the basic reproduction number is established and the global stability of the unique endemic equilibrium is discussed when spatial environment is homogeneous. In particular, the asymptotic profile of endemic equilibria is determined if the diffusion rate of the susceptible or infected population is small or large. The theoretical results show that a varying total population can enhance persistence of infectious disease, and therefore the disease becomes more threatening and harder to control.