Impact of Delay in Immune Response Activation on HIV Infection Dynamics
Mehdi Maziane *
Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University, P.O.Box 7955 Sidi Othman, Casablanca, Morocco.
El Mehdi Lotfi
Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University, P.O.Box 7955 Sidi Othman, Casablanca, Morocco.
Khalid Hattaf
Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University, P.O.Box 7955 Sidi Othman, Casablanca, Morocco and Centre Régional des Métiers de l’Education et de la Formation (CRMEF), 20340 Derb Ghalef, Casablanca, Morocco.
Noura Yousfi
Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University, P.O.Box 7955 Sidi Othman, Casablanca, Morocco.
*Author to whom correspondence should be addressed.
Abstract
In this work, we propose an HIV infection model with cure of infected cells in eclipse stage and delay in the activation of immune response. The stability of the equilibria and the existence of the Hopf bifurcation are investigated. Moreover, numerical simulations are carried out to illustrate our theoretical results.
Keywords: HIV infection, CTL immune response, delay, hopf bifurcation.