caa a22 4500 605497443 CHVBK 20210128100541.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s10441-015-9263-y doi (NATIONALLICENCE)springer-10.1007/s10441-015-9263-y Dynamics of a Class of HIV Infection Models with Cure of Infected Cells in Eclipse Stage [Elektronische Daten] [Mehdi Maziane, El Lotfi, Khalid Hattaf, Noura Yousfi] 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. Springer Science+Business Media Dordrecht, 2015 HIV nationallicence Nonlinear incidence rate nationallicence Diffusion nationallicence Global stability nationallicence Maziane Mehdi Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco aut Lotfi El Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco aut Hattaf Khalid Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco aut Yousfi Noura Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco aut Acta Biotheoretica Springer Netherlands 63/4(2015-12-01), 363-380 0001-5342 63:4<363 2015 63 10441 https://doi.org/10.1007/s10441-015-9263-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10441-015-9263-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Maziane Mehdi Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco aut NATIONALLICENCE 700 1- Lotfi El Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco aut NATIONALLICENCE 700 1- Hattaf Khalid Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco aut NATIONALLICENCE 700 1- Yousfi Noura Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco aut NATIONALLICENCE 773 0- Acta Biotheoretica Springer Netherlands 63/4(2015-12-01), 363-380 0001-5342 63:4<363 2015 63 10441