GLOBAL STABILITY OF HIV DYNAMICAL MODEL WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE

Mathematical modeling is an important method to study and research for the dynamic of viral infection in mathematical Biology. The aim of this article is to study the global dynamic of HIV virus infection model withCrowley-Martin functional response and give the results by using Lyapunov ssecond method and laSalle s invariance principle. We derive the basic reproduction number R0 and prove the global stabilities of rest points of system when R0≤1, R0 > 1, respectively.

Keywords:

Viral infection , Global stability , Crowley-Martin , Lyapunov function