Models for Miridae, a Cocoa insect pest. Application in control strategies.
Cocoa mirid, Sahlbergella singularis, is one of the major pests of cocoa in West Africa. It is responsible of several damages in plots. In this paper, we study the dynamics of this pest. Based on biological and ecological partial knowledge, we develop 2 cooperative mathematical models that aim to describe the time dynamics of the cocoa mirids. We first develop a cooperative stage‐structured model, derived some qualitative results, and a sensitivity analysis study in order to determine the most important parameters. Assuming that all parameters are or not periodic, we obtain conditions that allow the persistence or not of the population. We highlight the influence of cocoa pods variation along the year on the time evolution of the population. Then, we derive a 2‐stage cooperative time‐delay model, with 2 delays, that takes into account the eggs' development time and the females' maturation time. We illustrate our theoretical results with some simulations and show that the delayed system provides the best results compared with real observations. Finally, we focus on chemical control that is commonly used in Cameroon and compare it to a new biological control, mixing mating disrupting and trapping. We discuss the results and provide future perspectives based on this work.
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Subjects: | H10 - Ravageurs des plantes, U10 - Informatique, mathématiques et statistiques, Theobroma cacao, Miridae, Sahlbergella, lutte anti-insecte, modèle de simulation, http://aims.fao.org/aos/agrovoc/c_7713, http://aims.fao.org/aos/agrovoc/c_12607, http://aims.fao.org/aos/agrovoc/c_6735, http://aims.fao.org/aos/agrovoc/c_3885, http://aims.fao.org/aos/agrovoc/c_24242, http://aims.fao.org/aos/agrovoc/c_1229, http://aims.fao.org/aos/agrovoc/c_3253, |
Online Access: | http://agritrop.cirad.fr/589668/ http://agritrop.cirad.fr/589668/1/Tapi_et_al-2018-Mathematical_Methods_in_the_Applied_Sciences.pdf |
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dig-cirad-fr-5896682024-01-29T01:23:05Z http://agritrop.cirad.fr/589668/ http://agritrop.cirad.fr/589668/ Models for Miridae, a Cocoa insect pest. Application in control strategies. Tapi Djoukwe, Bagny-Beilhe Leïla, Bowong Samuel, Dumont Yves. 2018. Mathematical Methods in the Applied Sciences, 41 (18), n.spéc. Biomathematics/Advanced Analysis in Pure & Applied Sciences : 8673-8696.https://doi.org/10.1002/mma.5063 <https://doi.org/10.1002/mma.5063> Models for Miridae, a Cocoa insect pest. Application in control strategies. Tapi, Djoukwe Bagny-Beilhe, Leïla Bowong, Samuel Dumont, Yves eng 2018 Mathematical Methods in the Applied Sciences H10 - Ravageurs des plantes U10 - Informatique, mathématiques et statistiques Theobroma cacao Miridae Sahlbergella lutte anti-insecte modèle de simulation http://aims.fao.org/aos/agrovoc/c_7713 http://aims.fao.org/aos/agrovoc/c_12607 http://aims.fao.org/aos/agrovoc/c_6735 http://aims.fao.org/aos/agrovoc/c_3885 http://aims.fao.org/aos/agrovoc/c_24242 Cameroun Ghana http://aims.fao.org/aos/agrovoc/c_1229 http://aims.fao.org/aos/agrovoc/c_3253 Cocoa mirid, Sahlbergella singularis, is one of the major pests of cocoa in West Africa. It is responsible of several damages in plots. In this paper, we study the dynamics of this pest. Based on biological and ecological partial knowledge, we develop 2 cooperative mathematical models that aim to describe the time dynamics of the cocoa mirids. We first develop a cooperative stage‐structured model, derived some qualitative results, and a sensitivity analysis study in order to determine the most important parameters. Assuming that all parameters are or not periodic, we obtain conditions that allow the persistence or not of the population. We highlight the influence of cocoa pods variation along the year on the time evolution of the population. Then, we derive a 2‐stage cooperative time‐delay model, with 2 delays, that takes into account the eggs' development time and the females' maturation time. We illustrate our theoretical results with some simulations and show that the delayed system provides the best results compared with real observations. Finally, we focus on chemical control that is commonly used in Cameroon and compare it to a new biological control, mixing mating disrupting and trapping. We discuss the results and provide future perspectives based on this work. article info:eu-repo/semantics/article Journal Article info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/589668/1/Tapi_et_al-2018-Mathematical_Methods_in_the_Applied_Sciences.pdf text Cirad license info:eu-repo/semantics/restrictedAccess https://agritrop.cirad.fr/mention_legale.html https://doi.org/10.1002/mma.5063 10.1002/mma.5063 info:eu-repo/semantics/altIdentifier/doi/10.1002/mma.5063 info:eu-repo/semantics/altIdentifier/purl/https://doi.org/10.1002/mma.5063 |
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H10 - Ravageurs des plantes U10 - Informatique, mathématiques et statistiques Theobroma cacao Miridae Sahlbergella lutte anti-insecte modèle de simulation http://aims.fao.org/aos/agrovoc/c_7713 http://aims.fao.org/aos/agrovoc/c_12607 http://aims.fao.org/aos/agrovoc/c_6735 http://aims.fao.org/aos/agrovoc/c_3885 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_1229 http://aims.fao.org/aos/agrovoc/c_3253 H10 - Ravageurs des plantes U10 - Informatique, mathématiques et statistiques Theobroma cacao Miridae Sahlbergella lutte anti-insecte modèle de simulation http://aims.fao.org/aos/agrovoc/c_7713 http://aims.fao.org/aos/agrovoc/c_12607 http://aims.fao.org/aos/agrovoc/c_6735 http://aims.fao.org/aos/agrovoc/c_3885 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_1229 http://aims.fao.org/aos/agrovoc/c_3253 |
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H10 - Ravageurs des plantes U10 - Informatique, mathématiques et statistiques Theobroma cacao Miridae Sahlbergella lutte anti-insecte modèle de simulation http://aims.fao.org/aos/agrovoc/c_7713 http://aims.fao.org/aos/agrovoc/c_12607 http://aims.fao.org/aos/agrovoc/c_6735 http://aims.fao.org/aos/agrovoc/c_3885 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_1229 http://aims.fao.org/aos/agrovoc/c_3253 H10 - Ravageurs des plantes U10 - Informatique, mathématiques et statistiques Theobroma cacao Miridae Sahlbergella lutte anti-insecte modèle de simulation http://aims.fao.org/aos/agrovoc/c_7713 http://aims.fao.org/aos/agrovoc/c_12607 http://aims.fao.org/aos/agrovoc/c_6735 http://aims.fao.org/aos/agrovoc/c_3885 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_1229 http://aims.fao.org/aos/agrovoc/c_3253 Tapi, Djoukwe Bagny-Beilhe, Leïla Bowong, Samuel Dumont, Yves Models for Miridae, a Cocoa insect pest. Application in control strategies. |
description |
Cocoa mirid, Sahlbergella singularis, is one of the major pests of cocoa in West Africa. It is responsible of several damages in plots. In this paper, we study the dynamics of this pest. Based on biological and ecological partial knowledge, we develop 2 cooperative mathematical models that aim to describe the time dynamics of the cocoa mirids. We first develop a cooperative stage‐structured model, derived some qualitative results, and a sensitivity analysis study in order to determine the most important parameters. Assuming that all parameters are or not periodic, we obtain conditions that allow the persistence or not of the population. We highlight the influence of cocoa pods variation along the year on the time evolution of the population. Then, we derive a 2‐stage cooperative time‐delay model, with 2 delays, that takes into account the eggs' development time and the females' maturation time. We illustrate our theoretical results with some simulations and show that the delayed system provides the best results compared with real observations. Finally, we focus on chemical control that is commonly used in Cameroon and compare it to a new biological control, mixing mating disrupting and trapping. We discuss the results and provide future perspectives based on this work. |
format |
article |
topic_facet |
H10 - Ravageurs des plantes U10 - Informatique, mathématiques et statistiques Theobroma cacao Miridae Sahlbergella lutte anti-insecte modèle de simulation http://aims.fao.org/aos/agrovoc/c_7713 http://aims.fao.org/aos/agrovoc/c_12607 http://aims.fao.org/aos/agrovoc/c_6735 http://aims.fao.org/aos/agrovoc/c_3885 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_1229 http://aims.fao.org/aos/agrovoc/c_3253 |
author |
Tapi, Djoukwe Bagny-Beilhe, Leïla Bowong, Samuel Dumont, Yves |
author_facet |
Tapi, Djoukwe Bagny-Beilhe, Leïla Bowong, Samuel Dumont, Yves |
author_sort |
Tapi, Djoukwe |
title |
Models for Miridae, a Cocoa insect pest. Application in control strategies. |
title_short |
Models for Miridae, a Cocoa insect pest. Application in control strategies. |
title_full |
Models for Miridae, a Cocoa insect pest. Application in control strategies. |
title_fullStr |
Models for Miridae, a Cocoa insect pest. Application in control strategies. |
title_full_unstemmed |
Models for Miridae, a Cocoa insect pest. Application in control strategies. |
title_sort |
models for miridae, a cocoa insect pest. application in control strategies. |
url |
http://agritrop.cirad.fr/589668/ http://agritrop.cirad.fr/589668/1/Tapi_et_al-2018-Mathematical_Methods_in_the_Applied_Sciences.pdf |
work_keys_str_mv |
AT tapidjoukwe modelsformiridaeacocoainsectpestapplicationincontrolstrategies AT bagnybeilheleila modelsformiridaeacocoainsectpestapplicationincontrolstrategies AT bowongsamuel modelsformiridaeacocoainsectpestapplicationincontrolstrategies AT dumontyves modelsformiridaeacocoainsectpestapplicationincontrolstrategies |
_version_ |
1792499582914002944 |