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Published on: May 4, 2015
Impact of delay on HIV-1 dynamics of fighting a virus with another virus
1Department of Applied Mathematics, Western University, London, Ontario N6A 5B7, Canada. ytian56@uwo.ca.
Abstract:
In this paper, we propose a mathematical model for HIV-1 infection with intracellular delay. The model examines a viral-therapy for controlling infections through recombining HIV-1 virus with a genetically modified virus. For this model, the basic reproduction number R0 are identified and its threshold properties are discussed. When R0<1, the infection-free equilibrium E0 is globally asymptotically stable. When R0>1, E0 becomes unstable and there occurs the single-infection equilibrium Es, and E0 and Es exchange their stability at the transcritical point R0=1. If 1
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