報(bào)告題目：Stability and bifurcation analysis of an HIV-1 infection model with a general incidence and CTL immune response

報(bào)告時(shí)間：2021年11月12日（周六）上午9:20------10:00

報(bào)告地點(diǎn)：617-136-818（騰訊會(huì)議）

報(bào)告人：陳玉明教授

報(bào)告人單位：加拿大羅瑞爾大學(xué)

報(bào)告人簡(jiǎn)介：

    陳玉明，分別于1991年和1994年從北京大學(xué)獲應(yīng)用數(shù)學(xué)學(xué)士學(xué)位和碩士學(xué)位，并于2000年從加拿大約克大學(xué)（York University）獲理學(xué)博士學(xué)位，2000年9月至2001年6月在加拿大阿爾伯塔大學(xué)（University of Alberta）做博士后。從20001年7月起，一直任教于加拿大羅瑞爾大學(xué)(Wilfrid Laurier University)?，F(xiàn)為該校數(shù)學(xué)系正教授、博士生導(dǎo)師。主要研究興趣為動(dòng)力系統(tǒng)和泛函微分方程理論及其在生物數(shù)學(xué)和神經(jīng)網(wǎng)絡(luò)中的應(yīng)用。已在包括 SIAM Journal on Mathematical Analysis, Transactions on the American Mathematical Society, Nonlinearity, Journal of Differential Equations, Physica D, Proceedings of the American Mathematical Society， Mathematical Biosciences, Neural Networks等國(guó)際著名刊物發(fā)表論文一百五十余篇，其成果被同行廣泛引用，曾獲安大略省科技與創(chuàng)新部早期研究者獎(jiǎng)。主持了5項(xiàng)加拿大國(guó)家自然科學(xué)與工程理事會(huì)(NSERC)科研基金項(xiàng)目，參與了3項(xiàng)中國(guó)國(guó)家自然科學(xué)基金面上項(xiàng)目。積極參與高質(zhì)量人才如碩士生、博士生、博士后的培養(yǎng)。陳教授與中國(guó)學(xué)者有廣泛交流與合作。

報(bào)告摘要：

    In this talk, taking into account of eclipse, we propose an HIV-1 infection model with a general incidence rate and CTL immune response. We first study the existence and local stability of equilibria, which is characterized by the basic infection reproduction number R0 and the basic immunity reproduction number R1. The local stability analysis indicates the occurrence of transcritical bifurcations of equilibria. We confirm the bifurcations at the disease-free equilibrium and the infected immunefree equilibrium with transmission rate and the decay rate of CTLs as bifurcation parameters, respectively. Then we apply the approach of Lyapunov functions to establish the global stability of the equilibria, which is determined by the two basic reproduction numbers. These theoretical results are supported with numerical simulations. Moreover, we also identify the high sensitivity parameters by carrying out the sensitivity analysis of the two basic reproduction numbers to the model parameters.

邀請(qǐng)單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院