报告题目: A Spatial SIS Model in Advective Heterogeneous Environments
报告人：崔仁浩 中国人民大学
时间：4月26日上午 9：00-10：00
地点：管研楼1518
摘要: In this talk we shall be more interested in the effects ofdiffusion and advec-tion for a susceptible-infected-susceptible epidemicreaction-diffusion model inheterogeneous environments. The definition of thebasic reproduction numberR1 is given. If R1 < 1, the unique disease-freeequilibrium (DFE) is global-ly asymptotically stable. Asymptotic behaviors ofR1 for advection rate andmobility of the infected individuals (denoted by dI )are established, and theexistence of the endemic equilibrium when R1 > 1 isstudied. The effects ofdiffusion and advection rates on the stability of theDFE are further investi-gated. Among other things, we find that if the habitatis a low-risk domain,there may exist one critical value for the advection rate,under which the DFEchanges its stability at least twice as dI varies from zeroto infinity, while theDFE is unstable for any dI when the advection rate islarger than the criticalvalue. These results are in strong contrast with thecase of no advection, wherethe DFE changes its stability at most once as dIvaries from zero to infinity.
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