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Mating disruption and trapping model for pest-insect control

Anguelov Roumen, Dufourd Claire, Dumont Yves. 2016. Mating disruption and trapping model for pest-insect control. . Pretoria : SAMSA, Résumé, 1 p. Conference of the Southern Africa Mathematical Sciences Association, Pretoria, Afrique du Sud, 21 November 2016/24 November 2016.

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158-558-1-PB_CDufourd.pdf

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Abstract : For the control of pest-insect populations it is essential to develop environmentally respectful methods to preserve crop productions. To address this challenge, we study the impact of mating disruption and trapping by developing a generic mathematical model based on biological and ecological assumptions. Following a similar approach as in [2], we consider a temporal compart- mental model, formulated by a system of ODEs, compromising the fertilisation of females where males are attracted to traps releasing an artificial pheromone. The theoretical analysis of the model allows the identification of pheromone thresholds with practical applications in the field. In particular, we show that there is a minimum amount of pheromone needed to have an impact on the endemic equilibrium of an established population. Further, we identified another threshold value above which global stability of the “pest-free” equilibrium is guaranteed. Numerical simulations are carried out to illustrate the theoretical results. This study provides useful results for efficient control of a pest-insect population using mating disruption and trapping. (Texte intégral)

Mots-clés libres : Pest-insect control, Mating disruption, Discontinuous ordinary differential equation, Stability analysis

Classification Agris : H10 - Pests of plants
U10 - Mathematical and statistical methods

Auteurs et affiliations

  • Anguelov Roumen, University of Pretoria (ZAF)
  • Dufourd Claire, CIRAD-BIOS-UMR AMAP (ZAF)
  • Dumont Yves, CIRAD-BIOS-UMR AMAP (FRA) ORCID: 0000-0003-4817-685X

Source : Cirad-Agritrop (https://agritrop.cirad.fr/582264/)

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