通知公告

当前位置:首页 > 通知公告 > 正文

2021年度数学与统计学院外请专家学术报告之三十五

时间:2021-10-19 16:38:08 来源: 作者: 阅读:

报告题目Stability and bifurcation analysis of an HIV-1 infection model with a general incidence and CTL immune response

报告人: 陈玉明  教授

报告时间:20211030(周六) 8:3010:00

报告地点:腾讯会议:613 952 676

报告摘要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 immune-free 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.

报告人简介: 陈玉明,分别于1991年和1994年从北京大学获应用数学学士学位和硕士学位,并于2000年从加拿大约克大学(York University) 获理学博士学位,20009月至20016月在加拿大阿尔伯塔大学(University of Alberta)做博士后。从200017月起,一直任教于加拿大罗瑞尔大学(Wilfrid Laurier University)。现为该校数学系正教授、博士生导师。主要研究兴趣为动力系统和泛函微分方程理论及其在生物数学和神经网络中的应用。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等国际著名刊物发表论文一百三十余篇,其成果被同行广泛引用,曾获安大略省科技与创新部早期研究者奖。主持了5项加拿大国家自然科学与工程理事会(NSERC)科研基金项目,参与了3项中国国家自然科学基金面上项目。积极参与高质量人才如硕士生、博士生、博士后的培养。

 数学与统计学院

                                                                                                                                                                                                            20211019