報告人：田燦榮 教授
報告題目：A SIS epidemic model on heterogeneous dynamical networks
報告時間：2026年5月14日（周四）上午9：00
報告地點：騰訊會議：317106941
主辦單位：數學與統計學院、數學研究院、科學技術研究院
報告人簡介：
田燦榮，鹽城工學院教授，江蘇省“333”人才工程第三層次。研究領域生物數學，主持國家自然科學基金3項，江蘇省自然科學基金1項。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等雜志發表學術論文40余篇。
報告摘要：
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.