Management of Invasive Insect Species using Optimal Control Theory

Christina Edholm, Brigitte Tenhumberg, Christopher Guiver, Yu Jin, Stuart Townley, Richard Rebarber

Research output: Contribution to journalArticle

5 Citations (Scopus)
47 Downloads (Pure)

Abstract

We discuss the use of optimal control theory to determine the most cost-effective management strategies for insect pests. We use a stage-structured linear population projection model where the modeled control action increases the mortality in one of the stage-classes. We illustrate the method by using a published model for the root weevil Diaprepes abbreviatus, an invasive insect species having a substantial negative impact on citrus trees in regions such as Florida and California in the United States. Here control corresponds to the application of inundative biological control agents (entomopathogenic nematodes as biopesticides) which increases the mortality of the larval stage. Our approach determines levels and timing of control to minimize the economic loss caused by D. abbreviatus. We use two numerical methods to approximate the optimal control, and compare their effectiveness.

Original languageEnglish
Pages (from-to)36-45
Number of pages10
JournalEcological Modelling
Volume381
DOIs
Publication statusPublished - 10 Aug 2018

Keywords

  • Diaprepes abbreviatus
  • Discrete-time system
  • Invasive species
  • Optimal control
  • Population management

ASJC Scopus subject areas

  • Ecological Modelling

Cite this

Edholm, C., Tenhumberg, B., Guiver, C., Jin, Y., Townley, S., & Rebarber, R. (2018). Management of Invasive Insect Species using Optimal Control Theory. Ecological Modelling, 381, 36-45. https://doi.org/10.1016/j.ecolmodel.2018.04.011