Mathematical model for pest-insect control using mating disruption and trapping
Controlling pest insects is a challenge of main importance to preserve crop production. In the context of Integrated Pest Management (IPM) programs, we develop a generic model to study the impact of mating disruption control using an artificial female pheromone to confuse males and adversely affect their mating opportunities. Consequently the reproduction rate is diminished leading to a decline in the population size. For more efficient control, trapping is used to capture the males attracted by the artificial pheromone. The model, derived from biological and ecological assumptions, is governed by a piecewise smooth system of ODEs. A theoretical analysis of the model without control is first carried out to establish the properties of the endemic equilibrium. Then, control is added and the theoretical analysis of the model enables to identify threshold values of pheromone which are practically interesting for field applications. In particular, we show that there is a threshold above which the global asymptotic stability of the trivial equilibrium is ensured, i.e. the population goes to extinction. Finally, we illustrate the theoretical results via numerical experiments.
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Subjects: | H10 - Ravageurs des plantes, U10 - Informatique, mathématiques et statistiques, modèle mathématique, lutte anti-insecte, phéromone, gestion intégrée des ravageurs, piège à base de phéromones, piège, lutte antiravageur, http://aims.fao.org/aos/agrovoc/c_24199, http://aims.fao.org/aos/agrovoc/c_3885, http://aims.fao.org/aos/agrovoc/c_5778, http://aims.fao.org/aos/agrovoc/c_34030, http://aims.fao.org/aos/agrovoc/c_34883, http://aims.fao.org/aos/agrovoc/c_7879, http://aims.fao.org/aos/agrovoc/c_5726, |
Online Access: | http://agritrop.cirad.fr/585276/ http://agritrop.cirad.fr/585276/1/ADD_Mating_Disrupting_APM_2017.pdf |
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dig-cirad-fr-5852762024-01-29T05:40:07Z http://agritrop.cirad.fr/585276/ http://agritrop.cirad.fr/585276/ Mathematical model for pest-insect control using mating disruption and trapping. Anguelov Roumen, Dufourd Claire, Dumont Yves. 2017. Applied Mathematical Modelling, 52 : 437-457.https://doi.org/10.1016/j.apm.2017.07.060 <https://doi.org/10.1016/j.apm.2017.07.060> Mathematical model for pest-insect control using mating disruption and trapping Anguelov, Roumen Dufourd, Claire Dumont, Yves eng 2017 Applied Mathematical Modelling H10 - Ravageurs des plantes U10 - Informatique, mathématiques et statistiques modèle mathématique lutte anti-insecte phéromone gestion intégrée des ravageurs piège à base de phéromones piège lutte antiravageur http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_3885 http://aims.fao.org/aos/agrovoc/c_5778 http://aims.fao.org/aos/agrovoc/c_34030 http://aims.fao.org/aos/agrovoc/c_34883 http://aims.fao.org/aos/agrovoc/c_7879 http://aims.fao.org/aos/agrovoc/c_5726 Controlling pest insects is a challenge of main importance to preserve crop production. In the context of Integrated Pest Management (IPM) programs, we develop a generic model to study the impact of mating disruption control using an artificial female pheromone to confuse males and adversely affect their mating opportunities. Consequently the reproduction rate is diminished leading to a decline in the population size. For more efficient control, trapping is used to capture the males attracted by the artificial pheromone. The model, derived from biological and ecological assumptions, is governed by a piecewise smooth system of ODEs. A theoretical analysis of the model without control is first carried out to establish the properties of the endemic equilibrium. Then, control is added and the theoretical analysis of the model enables to identify threshold values of pheromone which are practically interesting for field applications. In particular, we show that there is a threshold above which the global asymptotic stability of the trivial equilibrium is ensured, i.e. the population goes to extinction. Finally, we illustrate the theoretical results via numerical experiments. article info:eu-repo/semantics/article Journal Article info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/585276/1/ADD_Mating_Disrupting_APM_2017.pdf text Cirad license info:eu-repo/semantics/restrictedAccess https://agritrop.cirad.fr/mention_legale.html https://doi.org/10.1016/j.apm.2017.07.060 10.1016/j.apm.2017.07.060 info:eu-repo/semantics/altIdentifier/doi/10.1016/j.apm.2017.07.060 info:eu-repo/semantics/altIdentifier/purl/https://doi.org/10.1016/j.apm.2017.07.060 |
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H10 - Ravageurs des plantes U10 - Informatique, mathématiques et statistiques modèle mathématique lutte anti-insecte phéromone gestion intégrée des ravageurs piège à base de phéromones piège lutte antiravageur http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_3885 http://aims.fao.org/aos/agrovoc/c_5778 http://aims.fao.org/aos/agrovoc/c_34030 http://aims.fao.org/aos/agrovoc/c_34883 http://aims.fao.org/aos/agrovoc/c_7879 http://aims.fao.org/aos/agrovoc/c_5726 H10 - Ravageurs des plantes U10 - Informatique, mathématiques et statistiques modèle mathématique lutte anti-insecte phéromone gestion intégrée des ravageurs piège à base de phéromones piège lutte antiravageur http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_3885 http://aims.fao.org/aos/agrovoc/c_5778 http://aims.fao.org/aos/agrovoc/c_34030 http://aims.fao.org/aos/agrovoc/c_34883 http://aims.fao.org/aos/agrovoc/c_7879 http://aims.fao.org/aos/agrovoc/c_5726 |
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H10 - Ravageurs des plantes U10 - Informatique, mathématiques et statistiques modèle mathématique lutte anti-insecte phéromone gestion intégrée des ravageurs piège à base de phéromones piège lutte antiravageur http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_3885 http://aims.fao.org/aos/agrovoc/c_5778 http://aims.fao.org/aos/agrovoc/c_34030 http://aims.fao.org/aos/agrovoc/c_34883 http://aims.fao.org/aos/agrovoc/c_7879 http://aims.fao.org/aos/agrovoc/c_5726 H10 - Ravageurs des plantes U10 - Informatique, mathématiques et statistiques modèle mathématique lutte anti-insecte phéromone gestion intégrée des ravageurs piège à base de phéromones piège lutte antiravageur http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_3885 http://aims.fao.org/aos/agrovoc/c_5778 http://aims.fao.org/aos/agrovoc/c_34030 http://aims.fao.org/aos/agrovoc/c_34883 http://aims.fao.org/aos/agrovoc/c_7879 http://aims.fao.org/aos/agrovoc/c_5726 Anguelov, Roumen Dufourd, Claire Dumont, Yves Mathematical model for pest-insect control using mating disruption and trapping |
description |
Controlling pest insects is a challenge of main importance to preserve crop production. In the context of Integrated Pest Management (IPM) programs, we develop a generic model to study the impact of mating disruption control using an artificial female pheromone to confuse males and adversely affect their mating opportunities. Consequently the reproduction rate is diminished leading to a decline in the population size. For more efficient control, trapping is used to capture the males attracted by the artificial pheromone. The model, derived from biological and ecological assumptions, is governed by a piecewise smooth system of ODEs. A theoretical analysis of the model without control is first carried out to establish the properties of the endemic equilibrium. Then, control is added and the theoretical analysis of the model enables to identify threshold values of pheromone which are practically interesting for field applications. In particular, we show that there is a threshold above which the global asymptotic stability of the trivial equilibrium is ensured, i.e. the population goes to extinction. Finally, we illustrate the theoretical results via numerical experiments. |
format |
article |
topic_facet |
H10 - Ravageurs des plantes U10 - Informatique, mathématiques et statistiques modèle mathématique lutte anti-insecte phéromone gestion intégrée des ravageurs piège à base de phéromones piège lutte antiravageur http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_3885 http://aims.fao.org/aos/agrovoc/c_5778 http://aims.fao.org/aos/agrovoc/c_34030 http://aims.fao.org/aos/agrovoc/c_34883 http://aims.fao.org/aos/agrovoc/c_7879 http://aims.fao.org/aos/agrovoc/c_5726 |
author |
Anguelov, Roumen Dufourd, Claire Dumont, Yves |
author_facet |
Anguelov, Roumen Dufourd, Claire Dumont, Yves |
author_sort |
Anguelov, Roumen |
title |
Mathematical model for pest-insect control using mating disruption and trapping |
title_short |
Mathematical model for pest-insect control using mating disruption and trapping |
title_full |
Mathematical model for pest-insect control using mating disruption and trapping |
title_fullStr |
Mathematical model for pest-insect control using mating disruption and trapping |
title_full_unstemmed |
Mathematical model for pest-insect control using mating disruption and trapping |
title_sort |
mathematical model for pest-insect control using mating disruption and trapping |
url |
http://agritrop.cirad.fr/585276/ http://agritrop.cirad.fr/585276/1/ADD_Mating_Disrupting_APM_2017.pdf |
work_keys_str_mv |
AT anguelovroumen mathematicalmodelforpestinsectcontrolusingmatingdisruptionandtrapping AT dufourdclaire mathematicalmodelforpestinsectcontrolusingmatingdisruptionandtrapping AT dumontyves mathematicalmodelforpestinsectcontrolusingmatingdisruptionandtrapping |
_version_ |
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