title: Dynamics of a Class of HIV Infection Models with Cure of Infected Cells in Eclipse Stage.
abstract: In this paper, we propose two HIV infection models with specific nonlinear incidence rate by including a class of infected cells in the eclipse phase. The first model is described by ordinary differential equations (ODEs) and generalizes a set of previously existing models and their results. The second model extends our ODE model by taking into account the diffusion of virus. Furthermore, the global stability of both models is investigated by constructing suitable Lyapunov functionals. Finally, we check our theoretical results with numerical simulations.
authors.affiliation: Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco.
authors.forename: Mehdi
authors.initials: M
authors.lastname: Maziane
authors.affiliation: Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco.
authors.forename: El Mehdi
authors.initials: el M
authors.lastname: Lotfi
authors.affiliation: Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco. k.hattaf@yahoo.fr.|Centre Régional des Métiers de l'Education et de la Formation (CRMEF), 20340, Derb Ghalef, Casablanca, Morocco. k.hattaf@yahoo.fr.
authors.forename: Khalid
authors.initials: K
authors.lastname: Hattaf
authors.affiliation: Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco.
authors.forename: Noura
authors.initials: N
authors.lastname: Yousfi
mesh_terms: D003198:Computer Simulation; D006678:HIV / Q000502:physiology*; D015658:HIV Infections / Q000517:prevention & control* / Q000821:virology*; D006801:Humans; D008962:Models, Theoretical; D014779:Virus Replication / Q000502:physiology*
keywords: Diffusion; Global stability; HIV; Nonlinear incidence rate