Models for Miridae, a Cocoa insect pest. Application in control strategies.

Tapi Djoukwe, Bagny-Beilhe Leïla, Bowong Samuel, Dumont Yves. 2018. Models for Miridae, a Cocoa insect pest. Application in control strategies.. Mathematical Methods in the Applied Sciences, 41 (18), n.spéc. Biomathematics/Advanced Analysis in Pure & Applied Sciences : pp. 8673-8696.

Journal article ; Article de recherche ; Article de revue à facteur d'impact
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Quartile : Q2, Sujet : MATHEMATICS, APPLIED

Abstract : Cocoa mirid, Sahlbergella singularis, is one of the major pests of cocoa in West Africa. It is responsible of several damages in plots. In this paper, we study the dynamics of this pest. Based on biological and ecological partial knowledge, we develop 2 cooperative mathematical models that aim to describe the time dynamics of the cocoa mirids. We first develop a cooperative stage‐structured model, derived some qualitative results, and a sensitivity analysis study in order to determine the most important parameters. Assuming that all parameters are or not periodic, we obtain conditions that allow the persistence or not of the population. We highlight the influence of cocoa pods variation along the year on the time evolution of the population. Then, we derive a 2‐stage cooperative time‐delay model, with 2 delays, that takes into account the eggs' development time and the females' maturation time. We illustrate our theoretical results with some simulations and show that the delayed system provides the best results compared with real observations. Finally, we focus on chemical control that is commonly used in Cameroon and compare it to a new biological control, mixing mating disrupting and trapping. We discuss the results and provide future perspectives based on this work.

Mots-clés Agrovoc : Theobroma cacao, Miridae, Sahlbergella, Lutte anti-insecte, Modèle de simulation

Mots-clés géographiques Agrovoc : Cameroun, Ghana

Mots-clés complémentaires : Sahlbergella singularis

Mots-clés libres : Mirids, Mathematical model, Delay differential equation, Pest control, Numerical simulation

Classification Agris : H10 - Pests of plants
U10 - Computer science, mathematics and statistics

Champ stratégique Cirad : Axe 4 (2014-2018) - Santé des animaux et des plantes

Auteurs et affiliations

  • Tapi Djoukwe, Université de Douala (CMR)
  • Bagny-Beilhe Leïla, CIRAD-BIOS-UPR Bioagresseurs (CMR)
  • Bowong Samuel, Université de Douala (CMR)
  • Dumont Yves, CIRAD-BIOS-UMR AMAP (FRA) ORCID: 0000-0003-4817-685X - auteur correspondant

Source : Cirad-Agritrop (

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