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Mating disruption and trapping model for pest-insect control

Anguelov R., Dufourd C., Dumont Y.. 2016. Pretoria : SAMSA, 1 p.. Conference of the Southern Africa Mathematical Sciences Association, 2016-11-21/2016-11-24, Pretoria (Afrique du Sud).

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)

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