报告人：田灿荣 教授
报告题目：A SIS epidemic model on heterogeneous dynamical networks
报告时间：2026年5月14日（周四）上午9：00
报告地点：腾讯会议：317106941
主办单位：数学与统计学院、数学研究院、科学技术研究院
报告人简介：
田灿荣，盐城工学院教授，江苏省“333”人才工程第三层次。研究领域生物数学，主持国家自然科学基金3项，江苏省自然科学基金1项。已在SIAM Journal on Applied Mathematics, SIAM Journal on Applied Dynamical systems, Journal of Differential Equations, Journal of Computational Physics, Journal of Mathematical Biology等杂志发表学术论文40余篇。
报告摘要：
A SIS epidemic model on heterogeneous dynamical networks with graph Laplacian diffusion is proposed to investigate the impact of population mobility on the asymptotic behavior of infectious diseases. First we show that the disease-free equilibrium is globally asymptotically stable if the basic reproduction number is less than unity. Next the monotone iterative sequence approach is employed to show that the endemic equilibrium is globally asymptotically stable if the basic reproduction number is greater than unity under the condition that the diffusion rates are equal. Finally some numerical simulations are carried out to demonstrate that solutions of the networked SIS epidemic model converge to a unique heterogeneous endemic equilibrium when the basic reproduction number is greater than unity.