Vaccination Strategies for Epidemics in Highly Mobile Populations
2002 (English)In: Applied Mathematics and Computation, ISSN 0096-3003, E-ISSN 1873-5649, Vol. 127, no 2-3, 261-276 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
Elsevier, 2002. Vol. 127, no 2-3, 261-276 p.
Epidemiology; Optimal control; SIR model; Optimal vaccination
Computer and Information Science
IdentifiersURN: urn:nbn:se:kth:diva-90557DOI: 10.1016/S0096-3003(01)00004-2OAI: oai:DiVA.org:kth-90557DiVA: diva2:505871
NR 201408052012-02-262012-02-26Bibliographically approved