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Management of invasive insect species using optimal control theory

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  • Edholm, Christina J.
  • Tenhumberg, Brigitte
  • Guiver, Chris
  • Jin, Yu
  • Townley, Stuart
  • Rebarber, Richard

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.

Suggested Citation

  • Edholm, Christina J. & Tenhumberg, Brigitte & Guiver, Chris & Jin, Yu & Townley, Stuart & Rebarber, Richard, 2018. "Management of invasive insect species using optimal control theory," Ecological Modelling, Elsevier, vol. 381(C), pages 36-45.
    • Handle: RePEc:eee:ecomod:v:381:y:2018:i:c:p:36-45
    DOI: 10.1016/j.ecolmodel.2018.04.011
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    References listed on IDEAS

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    1. Blackwood, Julie & Hastings, Alan & Costello, Christopher, 2010. "Cost-effective management of invasive species using linear-quadratic control," Ecological Economics, Elsevier, vol. 69(3), pages 519-527, January.
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    Cited by:

    1. Hidekazu Yoshioka & Yuta Yaegashi, 2020. "A growth rate control problem of harmful species population and its application to algae bloom," Environment Systems and Decisions, Springer, vol. 40(1), pages 107-124, March.
    2. Pasquali, S. & Soresina, C. & Gilioli, G., 2019. "The effects of fecundity, mortality and distribution of the initial condition in phenological models," Ecological Modelling, Elsevier, vol. 402(C), pages 45-58.
    3. Ferreira, João Miguel, 2023. "Optimal control policies for a non-eruptive population of rodents—The relevance of migration," Ecological Modelling, Elsevier, vol. 484(C).
    4. de Ávila-Simas, Sunshine & Morato, Marcelo M. & Reynalte-Tataje, David A. & Silveira, Hector B. & Zaniboni-Filho, Evoy & E. Normey-Rico, Julio, 2019. "Model-based predictive control for the regulation of the golden mussel Limnoperna fortunei (Dunker, 1857)," Ecological Modelling, Elsevier, vol. 406(C), pages 84-97.
    5. Liu, Ming & Wu, Jiani & Zhang, Shuhua & Liang, Jing, 2023. "Cyanobacterial blooms management: A modified optimization model for interdisciplinary research," Ecological Modelling, Elsevier, vol. 484(C).

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