# American Institute of Mathematical Sciences

2008, 5(2): 219-238. doi: 10.3934/mbe.2008.5.219

## Optimal control of vaccine distribution in a rabies metapopulation model

 1 Environmental Science, Policy and Geography, University of South Florida, St. Petersburg, FL 33701, United States 2 Department of Ecology and Evolutionary Biology, University of Tennessee, Knoxville, Tennessee 37996-1610, United States 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, United States

Received  July 2007 Revised  February 2008 Published  March 2008

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.
Citation: Erika Asano, Louis J. Gross, Suzanne Lenhart, Leslie A. Real. Optimal control of vaccine distribution in a rabies metapopulation model. Mathematical Biosciences & Engineering, 2008, 5 (2) : 219-238. doi: 10.3934/mbe.2008.5.219
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