Dynamics of a Class of HIV Infection Models with Cure of Infected Cells in Eclipse Stage

Verfasser / Beitragende:
[Mehdi Maziane, El Lotfi, Khalid Hattaf, Noura Yousfi]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Biotheoretica, 63/4(2015-12-01), 363-380
Format:
Artikel (online)
ID: 605497443
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024 7 0 |a 10.1007/s10441-015-9263-y  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10441-015-9263-y 
245 0 0 |a Dynamics of a Class of HIV Infection Models with Cure of Infected Cells in Eclipse Stage  |h [Elektronische Daten]  |c [Mehdi Maziane, El Lotfi, Khalid Hattaf, Noura Yousfi] 
520 3 |a 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. 
540 |a Springer Science+Business Media Dordrecht, 2015 
690 7 |a HIV  |2 nationallicence 
690 7 |a Nonlinear incidence rate  |2 nationallicence 
690 7 |a Diffusion  |2 nationallicence 
690 7 |a Global stability  |2 nationallicence 
700 1 |a Maziane  |D Mehdi  |u Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco  |4 aut 
700 1 |a Lotfi  |D El  |u Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco  |4 aut 
700 1 |a Hattaf  |D Khalid  |u Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco  |4 aut 
700 1 |a Yousfi  |D Noura  |u Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco  |4 aut 
773 0 |t Acta Biotheoretica  |d Springer Netherlands  |g 63/4(2015-12-01), 363-380  |x 0001-5342  |q 63:4<363  |1 2015  |2 63  |o 10441 
856 4 0 |u https://doi.org/10.1007/s10441-015-9263-y  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10441-015-9263-y  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Maziane  |D Mehdi  |u Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Lotfi  |D El  |u Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Hattaf  |D Khalid  |u Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Yousfi  |D Noura  |u Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, Morocco  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Biotheoretica  |d Springer Netherlands  |g 63/4(2015-12-01), 363-380  |x 0001-5342  |q 63:4<363  |1 2015  |2 63  |o 10441