Discrete time optimal control applied to pest control problems

Wandi Ding; Raymond Hendon; Brandon Cathey; Evan Lancaster; Robert Germick

doi:10.2140/involve.2014.7.479

Discrete time optimal control applied to pest control problems

Wandi Ding, Raymond Hendon, Brandon Cathey, Evan Lancaster, Robert Germick

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48 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	479-489
Number of pages	11
Journal	Involve
Volume	7
Issue number	4
DOIs	https://doi.org/10.2140/involve.2014.7.479
State	Published - 2014

Funding

The work was supported by NSF Stepping Up Undergraduate Research Summer Program at Middle Tennessee State University.

Keywords

biological pest control
discrete model
optimal control
pesticide

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10.2140/involve.2014.7.479

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Discrete time optimal control applied to pest control problems

Abstract

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Keywords

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