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Rabies in raccoons: optimal control for a discrete time model on a spatial grid
Authors:
Wandi Ding a;
Louis J. Gross b;
Keith Langston a;
Suzanne Lenhart a;
Leslie A. Real c
| Affiliations: | a Department of Mathematics, University of Tennessee, Knoxville, TN, USA |
| b Department of Ecology and Evolutionary Biology, University of Tennessee, Knoxville, TN, USA | |
| c Department of Biology, Emory University, Atlanta, GA, USA |
DOI:
10.1080/17513750701605515
Publication Frequency:
6 issues per year
Subjects:
Animal Behaviour;
Environmental Sciences;
Epidemiology;
Immunology;
Mathematical Biology;
Mathematical Modelling;
Plant & Animal Ecology;
Systems Biology;
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Abstract
An epidemic model for rabies in raccoons is formulated with discrete time and spatial features. The goal is to analyze the strategies for optimal distribution of vaccine baits to minimize the spread of the disease and the cost of implementing the control. Discrete optimal control techniques are used to derive the optimality system, which is then solved numerically to illustrate various scenarios.
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| Keywords: Rabies in raccoons; Discrete model; Optimal control; Vaccine |
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