Mathematical modelling of mating-disrupting and trapping controls. Theoretical results and simulations

Anguelov Roumen, Dufourd Claire, Dumont Yves. 2016. Mathematical modelling of mating-disrupting and trapping controls. Theoretical results and simulations. . Perpignan : Université de Perpignan, Résumé, 1 p. Emerging Trends in Applied Mathematics and Mechanics Conference (ETAMM 2016), Perpignan, France, 30 May 2016/3 June 2016.

Paper without proceedings
Published version - Anglais
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Abstract : The control of insect pest populations in environmentally friendly manner is a major challenge. Several techniques are available, like mating-disruption, pheromone trapping, sterile insect technique, or biological control methods using parasitoïds or natural enemies, etc. In any case, a long term study is necessary to anticipate problems and difficulties related to the method and prevent any ecological disaster. The success of these control methods relies not only on a good knowledge of the pest's biology and ecology, but also on the population size and space-time distribution. In order to identify the most appropriate (combination of) control technique(s), to optimize a control strategy in time and space or to understand failures in experiments, mathematical modelling can be a very helpful tool for researchers. In this talk, we focus on mating-disruption and trapping. First, we present a temporal model related to this control. A qualitative study allows us to highlight two thresholds related to the success or failure of the mating-disruption method. We also show that adding efficient tapping can considerably improve the control. Finally, we extend our model to a spatio-temporal model and provide simulations to illustrate our discussions. (Texte intégral)

Mots-clés libres : Pest control, Mating, Trapping, Discontinuous differential equation, Thresholds, Simulation

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 (

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