Optimal control of vaccine distribution in a rabies metapopulation model

Erika Asano; Louis J. Gross; Suzanne Lenhart; Leslie A. Real; Erika Asano; Louis J. Gross; Suzanne Lenhart; Leslie A. Real

doi:10.3934/mbe.2008.5.219

Mathematical Biosciences and Engineering

2008, Volume 5, Issue 2: 219-238. doi: 10.3934/mbe.2008.5.219

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Optimal control of vaccine distribution in a rabies metapopulation model

1.
Environmental Science, Policy and Geography, University of South Florida, St. Petersburg, FL 33701
2.
Department of Ecology and Evolutionary Biology, University of Tennessee, Knoxville, Tennessee 37996-1610
3.
Department of Mathematics, University of Tennessee, Knoxville, TN 37996-1300
4.
Department of Biology and Center of Disease Ecology, Emory University, 1510 Clifton Road, Atlanta, GA 30322

Received: 01 July 2007 Accepted: 29 June 2018 Published: 01 March 2008
MSC : 92D30.

We consider an SIR metapopulation model for the spread of rabies in raccoons. This system of ordinary differential equations considers subpop- ulations connected by movement. Vaccine for raccoons is distributed through food baits. We apply optimal control theory to find the best timing for dis- tribution of vaccine in each of the linked subpopulations across the landscape. This strategy is chosen to limit the disease optimally by making the number of infections as small as possible while accounting for the cost of vaccination.
- optimal control,
- vaccine.,
- epidemiology,
- mathematical model,
- rabies in raccoons
Citation: Erika Asano, Louis J. Gross, Suzanne Lenhart, Leslie A. Real. Optimal control of vaccine distribution in a rabies metapopulation model[J]. Mathematical Biosciences and Engineering, 2008, 5(2): 219-238. doi: 10.3934/mbe.2008.5.219

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Abstract

We consider an SIR metapopulation model for the spread of rabies in raccoons. This system of ordinary differential equations considers subpop- ulations connected by movement. Vaccine for raccoons is distributed through food baits. We apply optimal control theory to find the best timing for dis- tribution of vaccine in each of the linked subpopulations across the landscape. This strategy is chosen to limit the disease optimally by making the number of infections as small as possible while accounting for the cost of vaccination.
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