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Optimal Control of Coffee Berry Borers: Synergy Between Bio-insecticide and Traps

Author

Listed:
  • Yves Fotso Fotso

    (University of Dschang
    Sorbonne University)

  • Suzanne Touzeau

    (Sorbonne Université, Biocore
    INRAE, CNRS, ISA)

  • Frédéric Grognard

    (Sorbonne Université, Biocore)

  • Berge Tsanou

    (University of Dschang
    Sorbonne University)

  • Samuel Bowong

    (Sorbonne University
    University of Douala)

Abstract

The coffee berry borer (CBB), Hypothenemus hampei, is the most destructive insect pest affecting coffee plantations in most coffee-producing countries, hence causing major economic losses worldwide. The cryptic life cycle of CBB inside coffee berries makes their control extremely difficult. To tackle this problem, we use a dynamical model describing the plant–pest interactions during a cropping season, which includes a berry age structure to account for CBB preference for mature berries. We introduce two environmentally friendly control methods, consisting in applying a bio-insecticide to reduce berry infestation and in trapping the colonising CBB. Our objective is to maximise the profit generated by the harvest of healthy coffee berries, while minimising the CBB population for the next cropping season. The existence of an optimal control strategy is provided, and necessary optimality conditions are established. Finally, the optimal control problem is solved numerically and simulations are provided. They show that combining the two control methods is a cost-effective strategy to protect coffee berries from CBB infestation.

Suggested Citation

  • Yves Fotso Fotso & Suzanne Touzeau & Frédéric Grognard & Berge Tsanou & Samuel Bowong, 2023. "Optimal Control of Coffee Berry Borers: Synergy Between Bio-insecticide and Traps," Journal of Optimization Theory and Applications, Springer, vol. 196(3), pages 882-899, March.
    • Handle: RePEc:spr:joptap:v:196:y:2023:i:3:d:10.1007_s10957-022-02151-7
    DOI: 10.1007/s10957-022-02151-7
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    References listed on IDEAS

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    1. Gustav Feichtinger & Vladimir Veliov & Tsvetomir Tsachev, 2004. "Maximum Principle For Age And Duration Structured Systems: A Tool For Optimal Prevention And Treatment Of Hiv," Mathematical Population Studies, Taylor & Francis Journals, vol. 11(1), pages 3-28.
    2. Rodríguez, Daniel & Cure, José Ricardo & Gutierrez, Andrew Paul & Cotes, José Miguel & Cantor, Fernando, 2013. "A coffee agroecosystem model: II. Dynamics of coffee berry borer," Ecological Modelling, Elsevier, vol. 248(C), pages 203-214.
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