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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