主講人：田燦榮 鹽城工學(xué)院教授

時(shí)間：2025年11月16日19：00

地點(diǎn)：騰訊會(huì)議 190 356 676

舉辦單位：數(shù)理學(xué)院

主講人介紹：田燦榮，鹽城工學(xué)院教授，江蘇省“333”人才工程第三層次。研究領(lǐng)域生物數(shù)學(xué)，主持國(guó)家自然科學(xué)基金3項(xiàng)，江蘇省自然科學(xué)基金1項(xiàng)。已在SIAM J on Applied Mathematics, SIAM J on Applied Dynamical systems, Journal of Differential Equations, Journal of Computational Physics, Journal of Mathematical Biology等雜志發(fā)表學(xué)術(shù)論文40余篇。

內(nèi)容介紹：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.