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.
