报告人：董岳平副教授，华中师范大学

报告题目：具有CD4+T稳态增殖和时滞的HIV感染模型的数学建模和分析

报告摘要：In this talk, we study the dynamics of an HIV infection model that considers the homeostatic proliferation of CD4+ T cells and time delay. The existence and stability of uninfected equilibrium and infected equilibria (smaller and larger ones) are studied by analyzing the characteristic equation of the system. The intracellular delay does not affect the stability of uninfected equilibrium, but it can change the stability of larger positive equilibrium and Hopf bifurcation appears inducing stable limit cycles. Furthermore, direction and stability of Hopf bifurcation are well investigated by using the central manifold theorem and the normal form theory. The numerical simulation results show that the stability region of larger positive equilibrium becomes smaller as the increase of the intracellular delay. Moreover, when the maximum homeostatic growth rate is very small, the larger positive equilibrium is always stable. On the contrary, when the rate of supply of T cells is very small, the larger positive equilibrium is always unstable.

        报告时间：2023年5月28日15:00

报告地点：理学楼609会议室

报告人简介：董岳平，华中师范大学副教授，博士毕业于日本静冈大学。主要从事生物数学、微分方程理论及其在生物医学等领域中的应用研究。先后在American Naturalist, Journal of Theoretical Biology, BMJ Open, Applied Mathematical Modelling, Nonlinear Dynamics等学术期刊上发表SCI论文30余篇，主持1项国家自然科学基金青年项目和1项湖北省自然科学基金青年项目。

       欢迎感兴趣的师生参加！