A Non-Standard Finite Difference Scheme for a Diffusive HIV-1 Infection Model with Immune Response and Intracellular Delay

In this paper, we propose and study a diffusive HIV infection model with infected cells delay, virus mature abstract function incidence rate diffusion term. By introducing the reproductive numbers for viral R0 CTL immune response number R1, show that R1 act as threshold parameter existence stability of equilibria. If R0≤1, infection-free equilibrium E0 is globally asymptotically stable, viruses are cleared; if R1≤1<R0, CTL-inactivated E1 becomes chronic but without persistent response; R1>1, CTL-activated E2 response. Next, dynamic discreted system our by using non-standard finite difference scheme. We find global equilibria continuous discrete not always consistent. That is, or two kinds However, Finally, numerical simulations carried out to illustrate theoretical results effects factors on time-delay model.