Mating disruption and trapping model for pest-insect control
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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Subjects: | H10 - Ravageurs des plantes, U10 - Informatique, mathématiques et statistiques, |
Online Access: | http://agritrop.cirad.fr/582264/ http://agritrop.cirad.fr/582264/1/158-558-1-PB_CDufourd.pdf |
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dig-cirad-fr-5822642019-12-18T17:02:41Z http://agritrop.cirad.fr/582264/ http://agritrop.cirad.fr/582264/ Mating disruption and trapping model for pest-insect control. Anguelov Roumen, Dufourd Claire, Dumont Yves. 2016. . Pretoria : SAMSA, Résumé, 1 p. Conference of the Southern Africa Mathematical Sciences Association, Pretoria, Afrique du Sud, 21 Novembre 2016/24 Novembre 2016. Researchers Mating disruption and trapping model for pest-insect control Anguelov, Roumen Dufourd, Claire Dumont, Yves eng 2016 SAMSA H10 - Ravageurs des plantes U10 - Informatique, mathématiques et statistiques 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) conference_item info:eu-repo/semantics/conferenceObject Conference info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/582264/1/158-558-1-PB_CDufourd.pdf text Cirad license info:eu-repo/semantics/restrictedAccess https://agritrop.cirad.fr/mention_legale.html |
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H10 - Ravageurs des plantes U10 - Informatique, mathématiques et statistiques H10 - Ravageurs des plantes U10 - Informatique, mathématiques et statistiques Anguelov, Roumen Dufourd, Claire Dumont, Yves Mating disruption and trapping model for pest-insect control |
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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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H10 - Ravageurs des plantes U10 - Informatique, mathématiques et statistiques |
author |
Anguelov, Roumen Dufourd, Claire Dumont, Yves |
author_facet |
Anguelov, Roumen Dufourd, Claire Dumont, Yves |
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Anguelov, Roumen |
title |
Mating disruption and trapping model for pest-insect control |
title_short |
Mating disruption and trapping model for pest-insect control |
title_full |
Mating disruption and trapping model for pest-insect control |
title_fullStr |
Mating disruption and trapping model for pest-insect control |
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Mating disruption and trapping model for pest-insect control |
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mating disruption and trapping model for pest-insect control |
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SAMSA |
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http://agritrop.cirad.fr/582264/ http://agritrop.cirad.fr/582264/1/158-558-1-PB_CDufourd.pdf |
work_keys_str_mv |
AT anguelovroumen matingdisruptionandtrappingmodelforpestinsectcontrol AT dufourdclaire matingdisruptionandtrappingmodelforpestinsectcontrol AT dumontyves matingdisruptionandtrappingmodelforpestinsectcontrol |
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