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Discrete time
optimal control applied to pest control problems
Wandi Ding, Raymond Hendon, Brandon Cathey, Evan Lancaster and Robert Germick
Vol. 7 (2014), No. 4, 479–489
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Abstract |
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We apply discrete time optimal control theory to the mathematical modeling of pest control. Two scenarios: biological control and the combination of pesticide and biological control are considered. The goal is maximizing the “valuable” population, minimizing the pest population and the cost to apply the control strategies. Using the extension of Pontryagin’s maximum principle to discrete system, the adjoint systems and the characterization of the optimal pest controls are derived. Numerical simulations of various cases are provided to show the effectiveness of our methods. |
Keywords
optimal control, biological pest control, discrete model,
pesticide
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Mathematical Subject Classification 2010
Primary: 39A10, 49K99, 92D25
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Milestones
Received: 5 October 2012
Revised: 11 November 2013
Accepted: 20 December 2013
Published: 31 May 2014
Communicated by Suzanne Lenhart
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Authors |
| Wandi Ding | |
| Department of Mathematical
Sciences Middle Tennessee State University Murfreesboro, TN 37132 United States |
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| Raymond Hendon | |
| Computational Science Program Middle Tennessee State University Murfreesboro, TN 37132 United States |
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| Brandon Cathey | |
| Department of Physics and
Astronomy University of Tennessee, Knoxville Knoxville, TN 37996 United States |
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| Evan Lancaster | |
| Department of University
Studies Middle Tennessee State University Murfreesboro, TN 37132 United States |
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| Robert Germick | |
| Department of Electrical
Engineering University of Tennessee Knoxville, TN 37996 United States |
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