Applications of Optimal Control Theory to Infectious Disease Modeling
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Authors
Hansen, Elsa K. S.
Date
2011-01-26T15:41:21Z
Type
thesis
Language
eng
Keyword
Infectious Disease Modeling , Optimal Control
Alternative Title
Abstract
This thesis investigates the optimal use of intervention strategies to mitigate the spread of infectious diseases. Three main problems are addressed:
(i) The optimal use vaccination and isolation resources under the assumption that these resources are limited. Specifically we address the problem of minimizing the outbreak size and we determine the optimal vaccination-only, isolation-only and mixed vaccination-isolation strategies.
(ii) The optimal use of a single antiviral drug to minimize the total outbreak size, under the assumption that treatment causes de novo resistance.
(iii) The optimal use of two antiviral drugs to minimize the total infectious burden. Specifically we address the situation where there are two different strains and each strain is effectively treated by only one drug.
Description
Thesis (Ph.D, Mathematics & Statistics) -- Queen's University, 2011-01-25 19:59:17.263
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License
This publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.