报告人：舒洪英教授

报告题目：Viral dynamics with immune chemokines

报告摘要：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 standing 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. We then define the basic reproduction number of viral infection R0 and prove 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 immune response is uniform persistent and, under an additional technical condition the CTL-activated steady state E2 is globally asymptotically stable. To establish the global stability results, we need to prove point dissipativity, obtain uniform persistence, construct suitable Lyapunov functions, and apply the LaSalle invariance principle.

报告人简介：舒洪英，2010年获哈尔滨工业大学博士学位。2008年在加拿大阿尔伯塔大学留学两年，2011年至2014年先后在加拿大新不伦瑞克大学、加拿大瑞尔森大学和约克大学任AARMS博士后研究员。2014年至2018年任职同济大学特聘研究员，博士生导师。2018年至今任陕西师范大学特聘教授，博士生导师。2016年获上海市浦江人才计划，2017年获陕西省百人计划。先后主持2项国家自然科学基金面上项目，1项青年项目，1项上海市自然科学基金项目，1项加拿大科研基金项目。主要研究微分动力系统及其在生物数学上的应用，发表SCI收录论文40余篇，分别发表在J. Math. Pures Appl., SIAM Journal of Applied Mathematics, Journal of Differential Equations, Nonlinearity, Journal of Dynamics and Differential Equations, Journal of Mathematical Biology，Bulletin of Mathematical Biology 和Journal of Theoretical Biology等SCI期刊上。任美国数学学会MR评论员、欧洲数学学会zbMATH评论员。

报告时间：2024年11月4号15：30

报告形式：#腾讯会议：901-525-670

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