Global Dynamics of a SIRS Epidemic Model with Generalized Nonmonotone Incidence Rates

讲座时间 Datetime: 2022年10月14日，星期五，16:00-17:00

地点 Venue: 腾讯线上会议：310-766-272

主持人 Host：刘长剑

报告人 Speaker: 黄继才

单位 Affiliation: 华中师范大学

报告摘要 Abstract:

A SIRS epidemic model with a generalized nonmonotone incidence rate is considered in this talk. It is shown that the basic reproduction number R_0=1 does not act as a threshold value for the disease spread anymore, and there exists a sub-threshold value R_0=R_*(<1) between disease extinction and persistence. As parameters vary, the model undergoes saddle-node bifurcation, backward bifurcation, Bogdanov-Takens bifurcation of codimension 3, Hopf bifurcation, and degenerate Hopf bifurcation of codimension 3. Numerical simulations are given to demonstrate the existence of three limit cycles.