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Dynamics and biological control of the sugarcane borer with two parasitoids

Author

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  • Molter, Alexandre
  • Bezerra, João I.M.
  • Rafikova, Elvira
  • Nava, Dori E.
  • Rafikov, Marat

Abstract

The purpose of this work is to study an interaction between the sugarcane borer and its parasitoids (Trichogramma galloi, and Cotesia flavipes). The interaction between these populations is modeled by a host-parasitoid system considering six ordinary differential equations. The purpose of mathematical modeling is to answer two important issues: Is it possible to control the sugarcane pest only with the egg parasitoid or the larvae parasitoid, or do you need both? Among the control methodologies analyzed in this work, which could be the most appropriate for pest management? Three control methodologies are proposed, continuous control, impulsive control, and the coupling of these two controls, continuous and impulsive. Computer simulations are provided and their results discussed.

Suggested Citation

  • Molter, Alexandre & Bezerra, João I.M. & Rafikova, Elvira & Nava, Dori E. & Rafikov, Marat, 2023. "Dynamics and biological control of the sugarcane borer with two parasitoids," Ecological Modelling, Elsevier, vol. 481(C).
    • Handle: RePEc:eee:ecomod:v:481:y:2023:i:c:s0304380023000996
    DOI: 10.1016/j.ecolmodel.2023.110371
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    References listed on IDEAS

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    1. Tonnang, Henri E.Z. & Nedorezov, Lev V. & Ochanda, Horace & Owino, John & Löhr, Bernhard, 2009. "Assessing the impact of biological control of Plutella xylostella through the application of Lotka–Volterra model," Ecological Modelling, Elsevier, vol. 220(1), pages 60-70.
    2. Marat Rafikov & Alfredo Del Sole Lordelo & Elvira Rafikova, 2012. "Impulsive Biological Pest Control Strategies of the Sugarcane Borer," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-14, July.
    3. Alexandre Molter & Otávio A. Alves da Silveira & Jun S. Ono Fonseca & Valdecir Bottega, 2010. "Simultaneous Piezoelectric Actuator and Sensor Placement Optimization and Control Design of Manipulators with Flexible Links Using SDRE Method," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-23, January.
    4. Malard, Julien & Adamowski, Jan & Nassar, Jessica Bou & Anandaraja, Nallusamy & Tuy, Héctor & Melgar-Quiñonez, Hugo, 2020. "Modelling predation: Theoretical criteria and empirical evaluation of functional form equations for predator-prey systems," Ecological Modelling, Elsevier, vol. 437(C).
    5. Bezerra, João I.M. & Molter, Alexandre & Rafikov, Marat & Frighetto, Daiane F., 2021. "Biological control of the chaotic sugarcane borer-parasitoid agroecosystem," Ecological Modelling, Elsevier, vol. 450(C).
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