题目：Dynamics of an HIV virotherapy model with nonlinear incidence and two delays

报告人：田云  上海师范大学 教授

地点：数计学院4号楼229报告厅

时间：2018年10月22日下午，15:40

摘要: In this talk, we propose a mathematical model for HIV infection with delays in cell infection and virus production.  The model examines a viral-therapy for controlling infections through recombining HIV virus with a genetically modified virus. For this model, we derive two biologically insightful quantities (reproduction numbers) $\\mathcal{R}_0$ and $\\mathcal{R}_z$, and their threshold properties are discussed. When $\\mathcal{R}_0 1$ and $\\mathcal{R}_z<1 $, the single-infection equilibrium $e_s$ is globally asymptotically stable. when $\\mathcal{r}_z>1$, there occurs the double-infection equilibrium $E_d$, and there exists a constant $R_b$ such that $E_d$ is asymptotically stable if $1

报告人简介：加拿大西安大略大学应用数学博士毕业，主要从事微分方程定性理论、计算机符号计算和传染病模型等方向的研究。目前在《Journal of Differential Equations》、 《Proceedings of the Royal Society A》、《Communications in Nonlinear Science and Numerical Simulation》、 《International Journal of Bifurcation and Chaos》等SCI期刊发表论文近20篇，现主持国家自然科学基金项目两项，参与多项基金项目，入选上海青年东方学者和上海市青年科技启明星项目。