主講人：汪翔升 路易斯安那大學(xué)拉菲特分校副教授

時(shí)間：2022年9月12日10：00

地點(diǎn)：騰訊會(huì)議 478 127 447

舉辦單位：數(shù)理學(xué)院

主講人介紹：汪翔升, 路易斯安那大學(xué)拉菲特分校數(shù)學(xué)系副教授，博士畢業(yè)于香港城市大學(xué)和中國(guó)科學(xué)技術(shù)大學(xué)聯(lián)合高等研究中心。曾任職于紐芬蘭紀(jì)念大學(xué)和東南密蘇里州立大學(xué)。研究興趣包括漸近分析和生物數(shù)學(xué)等交叉學(xué)科領(lǐng)域，最近五年在A(yíng)dv. Math., J. Differential Equations, J. Math. Biol., J. Math. Pures. Appl., SIAM J. Control Optim.等雜志上發(fā)表論文二十余篇。

內(nèi)容介紹：We study a viral infection model incorporating both cell-to-cell infection and immune chemokines. Based on experimental results in the literature, we make a basic assumption that the cytotoxic T lymphocytes (CTL) will move toward the location with more infected cells, while the diffusion rate of CTL is a decreasing function of the density of infected cells. We first establish the global existence and ultimate boundedness of the solution via a priori energy estimates. Next, we define the basic reproduction number of viral infection R0 and prove by Lyapunov functional technique and LaSalle invariance principle that the infection-free steady state E0 is globally asymptotically stable if R0<1. When R0>1, then E0 becomes unstable, and another basic reproduction number of CTL response R1 becomes the dynamic threshold in the sense that, if R1<1, then the CTL-inactivated steady state E1 is globally asymptotically stable; and if R1>1, then the CTL-activated steady state E2 is globally asymptotically stable.