Authors
Petter Ögren, Clyde F Martin
Publication date
2002/4/15
Journal
Applied mathematics and computation
Volume
127
Issue
2-3
Pages
261-276
Publisher
Elsevier
Description
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.
Total citations
20052006200720082009201020112012201320142015201620172018201920202021202220232024214312211321531067
Scholar articles