Optimal vaccination strategies for the control of epidemics in highly mobile populations

Author

Ögren, Petter ; Martin, Clyde F.

Author_Institution

Dept. of Math., R. Inst. of Technol., Stockholm, Sweden

Volume

2

fYear

2000

fDate

2000

Firstpage

1782

Abstract

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

Keywords

biology; diseases; maximum principle; optimisation; Pontryagin maximum principle; epidemics; linear constraints; linear cost; optimal vaccination strategies; quadratic cost; rapidly spreading disease; structured SIR models; urbanized highly mobile population; vaccination program; Capacitive sensors; Cities and towns; Costs; Diseases; Ear; Humans; Immune system; Influenza; Mathematics; Optimal control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2000. Proceedings of the 39th IEEE Conference on

Conference_Location

Sydney, NSW

ISSN

0191-2216

Print_ISBN

0-7803-6638-7

Type

conf

DOI

10.1109/CDC.2000.912120

Filename

912120