Qualitative behavior of HIV-1 delayed model with apoptosis and cure rate

Abstract

This study investigated the effects of apoptosis and cure rate delay on the qualitative behavior of a nonlinear functional response human immunodeficiency virus infection model. A novel feature is that both Apoptosis and Cure Rate are incorporated into the model. The basic reproduction number 𝑅0 is used to make conclusions based on the model outcomes. We established that the infection free equilibrium and the chronic infection equilibrium are locally asymptotically stable if 𝑅0<1 and 𝑅0>1, respectively. This was done by using the characteristic equation of the model and Ruth Hurwitz criterion. We conclude by providing numerical simulations that demonstrate our findings.