Optimal control of an epidemic model with a saturated incidence rate

被引：35

作者：

Laarabi, Hassan ^{[1
]}

Labriji, El Houssine ^{[1
]}

Rachik, Mostafa ^{[1
]}

Kaddar, Abdelilah ^{[2
]}

机构：

[1] Univ Hassan II Mohammadia, Dept Math & Informat, Fac Sci Ben MSik, Casablanca, Morocco

[2] Univ Mohammed V Souissi, Fac Sci Jurid Econ & Sociales Sale, Sala Al Jadida, Morocco

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2012年 / 17卷 / 04期

关键词：

SIR model; optimal control; vaccination; DYNAMICS;

D O I：

10.15388/NA.17.4.14050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study we consider a mathematical model of an SIR epidemic model with a saturated incidence rate. We used the 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. The existence result was discussed. A characterization of the optimal control via adjoint variables was established. We obtained an optimality system that we sought to solve numerically by a competitive Gauss-Seidel like implicit difference method.

引用

页码：448 / 459

页数：12

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