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2014 Discrete time optimal control applied to pest control problems
Wandi Ding, Raymond Hendon, Brandon Cathey, Evan Lancaster, Robert Germick
Involve 7(4): 479-489 (2014). DOI: 10.2140/involve.2014.7.479


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.


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Wandi Ding. Raymond Hendon. Brandon Cathey. Evan Lancaster. Robert Germick. "Discrete time optimal control applied to pest control problems." Involve 7 (4) 479 - 489, 2014.


Received: 5 October 2012; Revised: 11 November 2013; Accepted: 20 December 2013; Published: 2014
First available in Project Euclid: 20 December 2017

zbMATH: 1325.92088
MathSciNet: MR3239755
Digital Object Identifier: 10.2140/involve.2014.7.479

Primary: 39A10 , 49K99 , 92D25

Keywords: biological pest control , discrete model , optimal control , pesticide

Rights: Copyright © 2014 Mathematical Sciences Publishers


Vol.7 • No. 4 • 2014
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