STABILITE LOCALE ET GLOBALE D’UN MODELE EPIDEMIQUE NON LINEAIRE

المؤلفون

  • Chahrazed LAID Université Constantine 1 (ex Mentouri )
  • Fouad Lazhar RAHMANI Université Constantine 1 (ex Mentouri )

الكلمات المفتاحية:

Modéle epidémique، Nombre de reproduction basique، Stabilité globale، Stabilité asymptotiquement locale

الملخص

Ce travail présente un modéle épidemiologique dans une population de taille totale N qui est divisées en trois sous populations épidémiologiques des personnes qui sont suseptibles, infectieux et ceux mis en quarantaines. Le modèle contient un point d’équilibre trivial et il existe aussi le poin non trivial. Nous avons etudier la stabilité global et local des deux points d’equilibres trivial et non trivial, aussi on a pu obtenir le nombre de reproduction basique.

التنزيلات

بيانات التنزيل غير متوفرة بعد.

السير الشخصية للمؤلفين

Chahrazed LAID، Université Constantine 1 (ex Mentouri )

Department de Mathematiques,
Facultée des sciences Exactes

Fouad Lazhar RAHMANI، Université Constantine 1 (ex Mentouri )

Department de Mathematiques,
Facultée des sciences Exactes

المراجع

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Lounes. R, Arazoza, H. (1995). A Two-Sex Model for the AIDS-Epidemic. Application to the Cuban National Programme on HIV-AIDS. Second Conference on Operation Research, Habana, 3-5 October1995, Cuba.

Lounes. R, Arazoza, H. (2000). Modeling HIV Epidemic Under Contact Tracing. The Cuban Case. Journal of theoritical Medecine Vol 2, p 267-274 (2000).

Lounes. R, Arazoza, H. (2002). A Non-Linear Model for a Sexually Transmitted Disease with contact tracing. IMA. J. MJath. Appl. Med. Biol. 19, p 221-234.

Lounes. R, Arazoza, H. (2003). What percentage of the Cuban HIV-AIDS Epidemic is known? Rev Cubana. Med Trop; 55(1). p30-37

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Xiao. D and Ruan, S.(2007). Global analysis of an epidemic model with nonmonotone incidence rate, Math Bio, V208, No2. P 419-429.

منشور

2011-12-01

كيفية الاقتباس

LAID, C., & RAHMANI, F. L. (2011). STABILITE LOCALE ET GLOBALE D’UN MODELE EPIDEMIQUE NON LINEAIRE. مجلة علوم و تكنولوجيا أ، علوم دقيقة, (34), 23–27. استرجع في من https://revue.umc.edu.dz/a/article/view/9

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