学术报告 报告题目：Analysis on a diffusive SIS epidemic model
报 告 人：李慧聪 博士 （华东师范大学）
报告时间：2017年12月18（星期一）上午10：00—11：00
邀 请 人：金海洋 副教授
报告地点：四号楼4318
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数学学院
2017年12月17日
报告摘要: We perform qualitative analysis on an SIS epidemic reaction-diffusion model with linear recruitment in spatially heterogeneous environment. The main feature of our model lies in that its total population varies. Uniform bounds of solutions are derived, based on which, the threshold dynamics are established in terms of the basic reproduction number. Moreover, global stability of the endemic equilibrium is proved when spatial environment is homogeneous. In particular, the asymptotic profile of endemic equilibria is established if the motility of susceptible or infected population is small. Our theoretical results show that varying total population tends to enhance disease persistence, and hence the disease becomes more threatening and harder to control.