Vaccination strategies for epidemics in highly mobile populations

被引：27

作者：

Ögren, P ^{[1
]}

Martin, CF

机构：

[1] Royal Inst Technol, Dept Math, Div Optimizat & Syst Theory, S-10044 Stockholm, Sweden

[2] Texas Tech Univ, Dept Math, Inst Environm & Human Hlth, Lubbock, TX 79409 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 127卷 / 2-3期

关键词：

epidemiology; optimal control; SIR model; optimal vaccination;

D O I：

10.1016/S0096-3003(01)00004-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our goal is to calculate optimal vaccination patterns for a rapidly spreading disease in an urbanized highly mobile population. The goal being to determine if vaccination can effect a disease for which there is low immunity in the population. Different types of structured SIR models are investigated. We construct a model appropriate for a traveling urbanized population and introduce a control in terms of a vaccination program. Linear constraints, a quadratic cost on the control and a linear cost on the number of infected are imposed. In this setting we calculate optimal vaccination patterns using the maximum principle of Pontryagin. The numerics are performed using Matlab. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：261 / 276

页数：16

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