Title :
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
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;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912120
