Discrete time optimal control applied to pest control problems

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

Research output: Contribution to journalArticlepeer-review

46 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 languageEnglish
Pages (from-to)479-489
Number of pages11
JournalInvolve
Volume7
Issue number4
DOIs
StatePublished - 2014
Externally publishedYes

Keywords

  • biological pest control
  • discrete model
  • optimal control
  • pesticide

Fingerprint

Dive into the research topics of 'Discrete time optimal control applied to pest control problems'. Together they form a unique fingerprint.

Cite this