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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Main Authors: Anguelov, Roumen, Dufourd, Claire, Dumont, Yves
Format: conference_item biblioteca
Language:eng
Published: SAMSA
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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spelling 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
institution CIRAD FR
collection DSpace
country Francia
countrycode FR
component Bibliográfico
access En linea
databasecode dig-cirad-fr
tag biblioteca
region Europa del Oeste
libraryname Biblioteca del CIRAD Francia
language eng
topic H10 - Ravageurs des plantes
U10 - Informatique, mathématiques et statistiques
H10 - Ravageurs des plantes
U10 - Informatique, mathématiques et statistiques
spellingShingle 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
description 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)
format conference_item
topic_facet H10 - Ravageurs des plantes
U10 - Informatique, mathématiques et statistiques
author Anguelov, Roumen
Dufourd, Claire
Dumont, Yves
author_facet Anguelov, Roumen
Dufourd, Claire
Dumont, Yves
author_sort 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
title_full_unstemmed Mating disruption and trapping model for pest-insect control
title_sort mating disruption and trapping model for pest-insect control
publisher SAMSA
url 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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