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) and , and their threshold properties are discussed. When , the infection-free equilibrium E0 is globally asymptotically stable. If and , the single-infection equilibrium Es is globally asymptotically stable. When , there occurs the double-infection equilibrium Ed, and there exists a constant Rb such that Ed is asymptotically stable if . Some simulations are performed to support and complement the theoretical results.
- Received September 4, 2015.
- Accepted January 14, 2016.
- © 2016 The Author(s)
Published by the Royal Society. All rights reserved.