Effect of time delays in an HIV virotherapy model with nonlinear incidence

发布时间：2019-11-01 作者：浏览次数：

Speaker:	袁沅	DateTime:	2019年11月7日上午9:00-10：00
Brief Introduction to Speaker: 袁沅，加拿大纽芬兰纪念大学，教授。		Place:	六号楼二楼报告厅
Abstract: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 with a genetically modified virus. For this model, we derive two biologically insightful quantities (reproduction numbers) R0 and Rz, and their threshold properties are discussed. When R0 <1 , the infection-free equilibrium E0 is globally asymptotically stable. If R0>1 and Rz <1 , the single-infection equilibrium Es is globally asymptotically stable. When Rz>1, there occurs the double-infection equilibrium Ed, and there exists a constant Rb such that Ed is asymptotically stable if 1