Dynamics of a Class of HIV Infection Models with Cure of Infected Cells in Eclipse Stage
Mehdi Maziane1, El Mehdi Lotfi1, Khalid Hattaf2,3
1Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco.
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.
Related Concept Videos
Retrovirus Life Cycles
Size and Structure of Viral Genomes
Retroviruses


