Dynamical behavior of a delay virus dynamics model with CTL immune response

In this paper,we study the stability of the equilibria of a delay virus dynamics model with CTL immune response by Hurwitz Criterion.And the discrete delay of the model describes the time between initial infection of a cell by HIV and the release of new virions.We study the effect of the time delay on the stability of infected steady state,conditions are given to ensure that the infected steady state is locally asymptotically stable for all delay. Numerical simulations are presented to ill ustrate the results.

In this paper, we study the stability of immune response by Hurwitz Criterion. And the the equilibria of a delay virus dynamics model with CTL discrete delay of the model describes the time between initial infection of a cell by HIV and the release of new virions. We study the effect of the time delay on the stability of infected steady state, conditions are given to ensure that the infected steady state is locally asymptotically stable for all delay. Numerical simulations are presented to ill ustrate the results.