Effect of time delays in an HIV virotherapy model with nonlinear incidence.
In this paper, 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) [Formula: see text] and [Formula: see text], and their threshold properties are discussed. When [Formula: see text], the infection-free equilibriumE0is globally asymptotically stable. If [Formula: see text] and [Formula: see text], the single-infection equilibriumEsis globally asymptotically stable. When [Formula: see text], there occurs the double-infection equilibriumEd, and there exists a constantRbsuch thatEdis asymptotically stable if [Formula: see text]. Some simulations are performed to support and complement the theoretical results.
Department of Mathematics , Shanghai Normal University , Shanghai 200234, People's Republic of China.
Yun
Y
Tian
Department of Mathematics and Statistics , Memorial University of Newfoundland , St John's, Newfoundland and Labrador, Canada A1C 5S7.
Yuan
0000-0002-2292-7339
Y
Yuan
HIV-1 model; Hopf bifurcation; Lyapunov function; global stability; nonlinear incidence; recombinant virus