【理學(xué)?學(xué)術(shù)報(bào)告】Threshold dynamics of a time-periodic nonlocal dispersal SIS epidemic model with Neumann boundary conditions

報(bào)告摘要: In this talk, we study a time-periodic nonlocal dispersal susceptible-infected-susceptible epidemic model with Neumann boundary conditions, where the total population number is constant. First, we investigate limiting profile of the spectral bound for a time-periodic nonlocal dispersal operator, and then obtain asymptotic behavior of the basic reproduction ratio of the model as the dispersal rates go to zero and infinity, respectively. Next, we establish the existence, uniqueness and stability of steady states of the model in terms of the basic reproduction ratio. Finally, we discuss the impacts of small and large diffusion rates of the susceptible and infectious populations on the persistence and extinction of the disease.

報(bào)告時(shí)間：2024年7月11日（周四）下午15:30-17:00，

報(bào)告地點(diǎn)：線下，H203

報(bào)告人簡介：

王其如，中山大學(xué)數(shù)學(xué)學(xué)院教授、博士研究生導(dǎo)師，中國工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)理事、數(shù)學(xué)與國防創(chuàng)新委員會(huì)委員、數(shù)學(xué)模型專業(yè)委員會(huì)委員，廣東省和廣州工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)理事長、黨支部書記。王教授從事微分方程與動(dòng)力系統(tǒng)、數(shù)學(xué)建模等方面的研究及應(yīng)用，主持完成國家自然科學(xué)基金面上項(xiàng)目4項(xiàng)、在研1項(xiàng)，在國內(nèi)外學(xué)術(shù)期刊J. Differential Equations、Adv. Nonlinear Anal.、J. Nonlinear Sci.、Nonlinear Anal. Real World Appl.、Discrete Contin. Dyn. Syst.、Fract. Calc. Appl. Anal.、中國科學(xué)數(shù)學(xué)（中、英文版）等發(fā)表相關(guān)學(xué)術(shù)論文140 余篇。是德國《數(shù)學(xué)文摘》和美國《數(shù)學(xué)評(píng)論》的評(píng)論員等。