Dynamics of a Class of HIV Infection Models with Cure of Infected Cells in Eclipse Stage
Gespeichert in:
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)
Online Zugang:
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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 | ||