Dynamics of a Fractional Order HIV Infection Model with Specific Functional Response and Cure Rate
We propose a fractional order model in this paper to describe the dynamics of human immunodeficiency virus (HIV) infection. In the model, the infection transmission process is modeled by a specific functional response. First, we show that the model is mathematically and biologically well posed. Seco...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2017/8372140 |
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| _version_ | 1832567300810604544 |
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| author | Adnane Boukhouima Khalid Hattaf Noura Yousfi |
| author_facet | Adnane Boukhouima Khalid Hattaf Noura Yousfi |
| author_sort | Adnane Boukhouima |
| collection | DOAJ |
| description | We propose a fractional order model in this paper to describe the dynamics of human immunodeficiency virus (HIV) infection. In the model, the infection transmission process is modeled by a specific functional response. First, we show that the model is mathematically and biologically well posed. Second, the local and global stabilities of the equilibria are investigated. Finally, some numerical simulations are presented in order to illustrate our theoretical results. |
| format | Article |
| id | doaj-art-3e5d2c97b18c498a8c7ba099de767953 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-3e5d2c97b18c498a8c7ba099de7679532025-02-03T01:01:46ZengWileyInternational Journal of Differential Equations1687-96431687-96512017-01-01201710.1155/2017/83721408372140Dynamics of a Fractional Order HIV Infection Model with Specific Functional Response and Cure RateAdnane Boukhouima0Khalid Hattaf1Noura Yousfi2Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955, Sidi Othmane, Casablanca, MoroccoLaboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955, Sidi Othmane, Casablanca, MoroccoLaboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955, Sidi Othmane, Casablanca, MoroccoWe propose a fractional order model in this paper to describe the dynamics of human immunodeficiency virus (HIV) infection. In the model, the infection transmission process is modeled by a specific functional response. First, we show that the model is mathematically and biologically well posed. Second, the local and global stabilities of the equilibria are investigated. Finally, some numerical simulations are presented in order to illustrate our theoretical results.http://dx.doi.org/10.1155/2017/8372140 |
| spellingShingle | Adnane Boukhouima Khalid Hattaf Noura Yousfi Dynamics of a Fractional Order HIV Infection Model with Specific Functional Response and Cure Rate International Journal of Differential Equations |
| title | Dynamics of a Fractional Order HIV Infection Model with Specific Functional Response and Cure Rate |
| title_full | Dynamics of a Fractional Order HIV Infection Model with Specific Functional Response and Cure Rate |
| title_fullStr | Dynamics of a Fractional Order HIV Infection Model with Specific Functional Response and Cure Rate |
| title_full_unstemmed | Dynamics of a Fractional Order HIV Infection Model with Specific Functional Response and Cure Rate |
| title_short | Dynamics of a Fractional Order HIV Infection Model with Specific Functional Response and Cure Rate |
| title_sort | dynamics of a fractional order hiv infection model with specific functional response and cure rate |
| url | http://dx.doi.org/10.1155/2017/8372140 |
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