报告题目：Dynamics and backward bifurcations of SEltuberculosis models in homogeneous andheterogeneous populations

报告人：王毅教授(中国地质大学（武汉）)

报告时间：2025年12月30日(10:30-11:30)

报告地点：复杂系统研究所四层(409)

报告人简介：王毅，中国地质大学(武汉)数学与物理学院副院长，教授:博士生导师，主要研究方向为生物数学与复杂网络。主持国家自然科学基金3项、湖北省自然科学基金等项目6项，在BMB、PhysicaD、Chaos、DCDS-B和JMB等国内外期刊发表论文多篇。

报告摘要：The main difference between tuberculosis (TB) and other infectiousdiseases is that the transmission of the bacterium should be considered notonly as the development of a primary infection, but also as exogenousreinfection or endogenous reactivation. Moreover, individuals in thepopulation may have heterogeneous contact rates. which can be describedby complex networks. To this end,we present two differential equationbased TB models in homogeneous and heterogeneous populations. Wederive the basic reproduction number of each model using the next.generation matrix method, and analyze the dynamical properties of eachmodel in detail. We find that the two models undergo backwardbifurcations and have the same threshold condition for backwardbifurcation. From this threshold condition, we see that the reduced rate ofexogenous reinfection of individuals plays an important role in causing the backward bifurcation.

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