Journals Information
Universal Journal of Applied Mathematics Vol. 1(3), pp. 185 - 191
DOI: 10.13189/ujam.2013.010305
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Optimal Vaccination Strategies of an SIR Epidemic Model with a Saturated Treatment
Hassan Laarabi *, Mostafa Rachik , Ouafa El Kahlaoui , El Houssine Labriji
Department of Mathematics and Computer Sciences, Faculty of Sciences Ben M鈥檚ik, Bd Comandant Idriss El harti, 20450, Casablanca, Morocco
ABSTRACT
In the present work, we consider a mathematical model of an SIR epidemic model with saturated incidence rate and saturated treatment function. We use an optimal vaccination strategies to minimize the susceptible and infected individuals and to maximize the number of recovered individuals. We work in the nonlinear optimal control framework. Some results concerning the existence and the characterization of the optimal control will be given. Numerical simulations are also presented.
KEYWORDS
Optimal control, Vaccination, SIR Models
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Hassan Laarabi , Mostafa Rachik , Ouafa El Kahlaoui , El Houssine Labriji , "Optimal Vaccination Strategies of an SIR Epidemic Model with a Saturated Treatment," Universal Journal of Applied Mathematics, Vol. 1, No. 3, pp. 185 - 191, 2013. DOI: 10.13189/ujam.2013.010305.
(b). APA Format:
Hassan Laarabi , Mostafa Rachik , Ouafa El Kahlaoui , El Houssine Labriji (2013). Optimal Vaccination Strategies of an SIR Epidemic Model with a Saturated Treatment. Universal Journal of Applied Mathematics, 1(3), 185 - 191. DOI: 10.13189/ujam.2013.010305.