Models for Miridae, a cocoa insect pest. Application in control strategies

dc.contributor.authorTapi Djoukwe, M.
dc.contributor.authorBagny-Beihle, L.
dc.contributor.authorBowong, S.
dc.contributor.authorDumont, Yves
dc.date.accessioned2018-10-29T10:09:33Z
dc.date.issued2018-05
dc.description.abstractCocoa 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.en_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.embargo2019-05-22
dc.description.librarianhj2018en_ZA
dc.description.sponsorshipThe first author is grateful to the DP‐PCP Agroforesterie Cameroon, CIRAD, IRD, and INRIA‐LIRIMA.en_ZA
dc.description.urihttp://wileyonlinelibrary.com/journal/mmaen_ZA
dc.identifier.citationTapi Djoukwe, M., Bagny-Beihle, L., Bowong, S. & Dumont, Y. 2018, 'Models for Miridae, a cocoa insect pest. Application in control strategies', Mathematical Methods in the Applied Sciences, NYP.en_ZA
dc.identifier.issn0170-4214 (print)
dc.identifier.issn1099-1476 (online)
dc.identifier.other10.1002/mma.5063
dc.identifier.urihttp://hdl.handle.net/2263/67091
dc.language.isoenen_ZA
dc.publisherWileyen_ZA
dc.rights© 2018 John Wiley and Sons, Ltd. This is the pre-peer reviewed version of the following article : 'Models for Miridae, a cocoa insect pest. Application in control strategies', Mathematical Methods in the Applied Sciences, vol. x, no. y, pp. z-zz, 2018, doi : 10.1002/mma.5063. The definite version is available at : http://wileyonlinelibrary.com/journal/mma.en_ZA
dc.subjectCocoa pesten_ZA
dc.subjectDelaysen_ZA
dc.subjectMathematical modelsen_ZA
dc.subjectPest controlen_ZA
dc.subjectSimulationen_ZA
dc.subjectSensitivity analysisen_ZA
dc.subjectBiological controlen_ZA
dc.subjectChemical controlen_ZA
dc.subjectFuture perspectivesen_ZA
dc.subjectPartial knowledgeen_ZA
dc.subjectStage structured modelen_ZA
dc.subjectDelay control systemsen_ZA
dc.subjectCocoa mirid (Sahlbergella singularis)en_ZA
dc.titleModels for Miridae, a cocoa insect pest. Application in control strategiesen_ZA
dc.typePostprint Articleen_ZA

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