Spatiotemporal patterns and bifurcations of a reaction-diffusion SIR epidemic model

报告摘要：In this talk, I will report our recent works on the dynamics of a reaction-diffusion SIR rabies model which was used to describe the population dynamics of fox rabies. Different from most of the epidemic models, this SIR model can exibibit periodicity even when the basic reproduction number is greater than 1. More precisely, the rabies disease may appear periodically via Hopf bifurcations; Thus, the weak threshold dynamics of the kinetic system can be expected. For our particular interets, we are also concerned with Turing instability of both the endemic equilibrium solution and the Hopf bifurcating periodic solutions.

This talk is based on the joint works with Gaoyang She.

专家简介：衣凤岐，男，毕业于哈尔滨工业大学，博士，大连理工大学教授、博士生导师。主要从事微分方程与动力系统的研究。2009年博士学位论文获得“哈尔滨工业大学第十一届优秀博士学位论文”；2010-2011年在牛津大学Wolfson生物数学研究中心从事博士后研究；2010年博士学位论文获得“全国优秀博士学位论文提名论文”；2013年入选“教育部新世纪优秀人才支持计划”；2014年主持的科研项目获得“黑龙江省科学技术奖二等奖”。