报告人：刘志军（湖北民族大学）

邀请人：吴付科

报告时间：2024年5月12日（星期日）15:30-17:00

报告地点：科技楼南楼711室

报告题目：Stability and Hopf bifurcation analysis of a HTLV-I infection model with time-delay CTL immune response

报告摘要：This paper is devoted to proposing a mathematical model in order to explore the dynamics of HTLV-I (human T-cell leukemia virus type-I) infection, in which the closely related target cell-virus-immune system interaction and the time-delay cytotoxic T lymphocyte (CTL) immune response are taken into consideration. Firstly, we give the relevant lemma for the existence of feasible equilibrium points of the model, and then further certify the global asymptotic stabilities of the infection-free equilibrium E1 and the immune-free equilibrium E2. Furthermore, we research the existence of Hopf bifurcation occurring at the immune equilibrium E∗ due to the influence of the delay bifurcation parameter. Also, the numerical simulations confirm this fact. In addition, we obtain the explicit expressions which determine the direction and stability of Hopf bifurcation. Finally, a succinct discussion shows that the delay in CTL response can destabilize E∗ and generate Hopf bifurcation, but not affect stabilities of E1 and E2.

报告人简介：刘志军，二级教授，湖北民族大学数学与统计学院硕士研究生导师，四川大学数学学院博士研究生导师，研究方向为微分方程理论及其应用。长期从事非线性生物动力系统的研究，主持国家自然科学基金3项、教育部科学技术研究重点项目1项、中国博士后科学基金1项、湖北省自然科学基金1项；以第一作者或通讯作者在国内外学术刊物上发表论文40余篇；获得湖北省自然科学奖三等奖1项（排序第2）。