時間🪰：2023年8月17日，21:30-23:00
地點：線上騰訊#144-356-043、密碼893347；線下1C207
主講人: 舒洪英，教授💌，陜西師範大學
題目🤷🏻♂️：Viral infection dynamics🤵🏿♀️：a global analysis
摘要🖊：First, we consider an in-host model with distributed delay to describe the in vivo infection dynamics of many viruses such as HIV-I, HCV, and HBV. We prove that the viral dynamics are determined by the basic reproduction number for infection. We also demonstrate that intracellular delays will lead to periodic oscillations in in-host models only with the right kind of target-cell dynamics. Next, we consider a viral model with the cytotoxic T lymphocyte (CTL) response. This general model admits three types of equilibria: infection-free equilibria, CTL-inactivated infection equilibria, and CTL-activated infection equilibria. We prove that the viral dynamics are determined by two threshold parameters: the basic reproduction number for infection and the basic reproduction number for immune response. We further incorporate two infection modes (virus-to-cell mode and cell-to-cell mode) into the viral infection model. Finally, we propose a general model to investigate the joint impact of viral diffusion and cell-to-cell transmission on viral infection dynamics. The mathematical challenge lies in the fact that the model system is partially degenerate and the solution map is not compact. By an innovative construction of Lyapunov functionals, we demonstrate that the basic reproduction number is the threshold parameter which determines global picture of viral dynamics.
主講人簡介💗：舒洪英🕵️♂️，陜西師範大學數學與統計EON4教授，博士生導師。2016年獲上海市浦江人才計劃🧎🏻🗽，2017年獲陜西省百人計劃👩🏼🏫。主持2項國家自然科學基金項目，1項上海市自然科學基金項目和1項加拿大科研基金項目。主要研究微分動力系統及生物數學方面的應用。已在J. Math. Pures Appl., Journal of Differential Equations, SIAM Journal of Applied Mathematics, JDE, JDDE, JMB,BMB等國際專業領域發表SCI論文四十余篇🏃🏻➡️。
歡迎廣大師生參加！