Global Dynamics, Numerical Simulation and Drug Therapy Control of an HIV Dynamical Model with Logistic Growth Rate and Crowley-Martin Incidence Rate

Abstract

In this paper, by the theory of dynamical systems, the local and global stability of an HIV viral infection model will be studied. These results will be given by using Lyapunov’s second method and LaSalle’s invariance principle. We will find the equilibria of the system and prove the local and global stability of these points by the value of the basic reproduction number. Some numerical examples will be presented to review the theoretical results. Finally, by including the effects of drug therapy on the model, we will
introduce a new threshold parameter.