Modeling the Dynamics of an Epidemic under Vaccination in Two Interacting Populations

被引：5

作者：

Ahmed, Ibrahim H. I. ^{[1
]}

Witbooi, Peter J. ^{[1
]}

Patidar, Kailash ^{[1
]}

机构：

[1] Univ Western Cape, Dept Math & Appl Math, ZA-7535 Bellville, South Africa

来源：

JOURNAL OF APPLIED MATHEMATICS | 2012年

基金：

新加坡国家研究基金会;

关键词：

SIR; IMMIGRATION; STABILITY;

D O I：

10.1155/2012/275902

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a model for an SIR epidemic in a population consisting of two components-locals and migrants. We identify three equilibrium points and we analyse the stability of the disease free equilibrium. Then we apply optimal control theory to find an optimal vaccination strategy for this 2-group population in a very simple form. Finally we support our analysis by numerical simulation using the fourth order Runge-Kutta method.

引用

页数：14

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