Optimal vaccination policies for stochastic epidemics among a population of households

Ball, Frank G. and Lyne, Owen D. (2002) Optimal vaccination policies for stochastic epidemics among a population of households. Mathematical Biosciences, 177 (SI). pp. 333-354. ISSN 0025-5564. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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This paper considers stochastic epidemics among a population partitioned into households, with mixing locally within households and globally throughout the population. The two levels of mixing have important implications for the threshold behaviour of the epidemic and consequently for the form and construction of optimal vaccination policies. Optimality is considered in terms of the cost of the vaccination program, the form of which is general enough to include costs of the vaccine itself, its administration, travel to and/or contact with the households. New explicit results are obtained by a constructive method which explain the form of optimal vaccination policies. Numerical studies are presented which exemplify the results discussed.

Item Type: Article
Uncontrolled keywords: SIR, SIS and SIRS epidemics; optimal vaccination policy; threshold parameter; households epidemic model
Subjects: H Social Sciences > HA Statistics
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Depositing User: Judith Broom
Date Deposited: 19 Dec 2007 18:20
Last Modified: 30 Apr 2014 10:10
Resource URI: https://kar.kent.ac.uk/id/eprint/564 (The current URI for this page, for reference purposes)
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