应兰州大学数学与统计学院王智诚教授的邀请，山西大学复杂系统研究所徐瑞教授将于2019年5月17日至5月18日访问兰州大学,期间将举办专题学术报告。

报告题目：An age-structured within-host HIV-1 infection model with virus-to-cell and cell-to-cell transmissions

报告摘要：In this work, a within-host HIV-1 infection model with virus-to-cell and direct cell-to-cell transmission and explicit age-since-infection structure for infected cells is investigated. It is shown that the model demonstrates a global threshold dynamics, fully described by the basic reproduction number. By analyzing the corresponding characteristic equations, the local stability of an infection-free steady state and a chronic-infection steady state of the model is established. By using the persistence theory in infinite dimensional system, the uniform persistence of the system is established when the basic reproduction number is greater than unity. By means of suitable Lyapunov functionals and LaSalle’s invariance principle, it is shown that if the basic reproduction number is less than unity, the infection-free steady state is globally asymptotically stable; if the basic reproduction number is greater than unity, the chronic-infection steady state is globally asymptotically stable. Numerical simulations are carried out to illustrate the feasibility of the theoretical results.

时 间：5月17日下午5:00.

地 点：齐云楼 911多媒体报告厅

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徐瑞教授简介

英国Dundee大学数学生物学专业博士，山西大学复杂系统研究所教授、博士生导师。军队院校“育才奖”金奖获得者。中国生物数学学会常务理事，《生物数学学报》常务编委，科学出版社《生物数学丛书》编委，美国《数学评论》和德国《数学文摘》评论员。主持完成国家自然科学基金面上项目4项；出版学术专著2部；发表SCI论文100多篇，被SCI杂志引用1200余次，1篇ESI高被引论文。

甘肃省高校应用数学与复杂系统省级重点实验室

数学与统计学院

萃英学院

2019年5月15日