Dynamics and Thresholds of a Simple Epidemiological Model: Example of HIV/AIDS in Mali
The dynamics of many epidemiological models for infectious diseases that spread in the sexually active population presents a crucial period: the period of the influx or recruitment of susceptible. In this paper, we assume that the recruitment of susceptible is done among the juvenile group. We propo...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/638021 |
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| _version_ | 1849695645916463104 |
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| author | Ouaténi Diallo Yaya Koné Jérôme Pousin |
| author_facet | Ouaténi Diallo Yaya Koné Jérôme Pousin |
| author_sort | Ouaténi Diallo |
| collection | DOAJ |
| description | The dynamics of many epidemiological models for infectious diseases that
spread in the sexually active population presents a crucial period: the period of the influx
or recruitment of susceptible. In this paper, we assume that the recruitment of susceptible
is done among the juvenile group. We propose a dynamical system to modelize the disease
spread, and we study the dynamical behavior of this system. Then, the controllability of
the system is studied. We prove that the survival rate allows to control the dynamic of the
system. Numerical simulations are given to illustrate the results. |
| format | Article |
| id | doaj-art-d4fb42f4f8e147619bd108e82f45f001 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d4fb42f4f8e147619bd108e82f45f0012025-08-20T03:19:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/638021638021Dynamics and Thresholds of a Simple Epidemiological Model: Example of HIV/AIDS in MaliOuaténi Diallo0Yaya Koné1Jérôme Pousin2Département de Mathématiques et D'Informatique, Faculté des Sciences et Techniques, B.P.E 3206, Bamako, MaliDépartement de Mathématiques et D'Informatique, Faculté des Sciences et Techniques, B.P.E 3206, Bamako, MaliUniversité de Lyon, INSA, ICJ UMR CNRS 5208, 69100 Lyon, FranceThe dynamics of many epidemiological models for infectious diseases that spread in the sexually active population presents a crucial period: the period of the influx or recruitment of susceptible. In this paper, we assume that the recruitment of susceptible is done among the juvenile group. We propose a dynamical system to modelize the disease spread, and we study the dynamical behavior of this system. Then, the controllability of the system is studied. We prove that the survival rate allows to control the dynamic of the system. Numerical simulations are given to illustrate the results.http://dx.doi.org/10.1155/2010/638021 |
| spellingShingle | Ouaténi Diallo Yaya Koné Jérôme Pousin Dynamics and Thresholds of a Simple Epidemiological Model: Example of HIV/AIDS in Mali International Journal of Mathematics and Mathematical Sciences |
| title | Dynamics and Thresholds of a Simple Epidemiological Model: Example of HIV/AIDS in Mali |
| title_full | Dynamics and Thresholds of a Simple Epidemiological Model: Example of HIV/AIDS in Mali |
| title_fullStr | Dynamics and Thresholds of a Simple Epidemiological Model: Example of HIV/AIDS in Mali |
| title_full_unstemmed | Dynamics and Thresholds of a Simple Epidemiological Model: Example of HIV/AIDS in Mali |
| title_short | Dynamics and Thresholds of a Simple Epidemiological Model: Example of HIV/AIDS in Mali |
| title_sort | dynamics and thresholds of a simple epidemiological model example of hiv aids in mali |
| url | http://dx.doi.org/10.1155/2010/638021 |
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