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dc.contributor.author | Djoukwe Tapi, M.![]() |
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dc.contributor.author | Bagny-Beilhe, Leila![]() |
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dc.contributor.author | Dumont, Yves![]() |
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dc.date.accessioned | 2020-09-11T10:03:10Z | |
dc.date.issued | 2020-08 | |
dc.description.abstract | Cocoa mirid, Sahlbergella singularis, is known to be one of the major pests of cocoa in West Africa. In this paper, we consider a biological control method, based on mating disrupting, using artificial sex pheromones, and trapping, to limit the impact of mirids in plots. We develop and study a piece-wise smooth delayed dynamical system. Based on previous results, a theoretical analysis is provided in order to derive all possible dynamics of the system. We show that two main threshold parameters exist that will be useful to derive long term successful control strategies for different level of infestation. We illustrate and discuss our results when cacao pods production is either constant along the year or seasonal. To conclude, we provide future perspectives based on this work. | en_ZA |
dc.description.department | Mathematics and Applied Mathematics | en_ZA |
dc.description.embargo | 2021-08-01 | |
dc.description.librarian | hj2020 | en_ZA |
dc.description.sponsorship | The DST/NRF SARChI Chair, South Africa M3B2 in Mathematical Models and Methods in Biosciences and Bioengineering at the University of Pretoria, South Africa. | en_ZA |
dc.description.uri | http://www.elsevier.com/locate/nonrwa | en_ZA |
dc.identifier.citation | Djoukwe Tapi, M., Bagny-Beilhe, L. & Dumont, Y. 2020, 'Miridae control using sex-pheromone traps. Modeling, analysis and simulations', Nonlinear Analysis: Real World Applications, vol. 54, art. 103082, pp. 1-22. | en_ZA |
dc.identifier.issn | 1468-1218 (print) | |
dc.identifier.issn | 1878-5719 (online) | |
dc.identifier.other | 10.1016/j.nonrwa.2019.103082 | |
dc.identifier.uri | http://hdl.handle.net/2263/76149 | |
dc.language.iso | en | en_ZA |
dc.publisher | Elsevier | en_ZA |
dc.rights | © 2019 Elsevier Ltd. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Nonlinear Analysis : Real World Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Nonlinear Analysis : Real World Applications, vol. 54, art. 103082, pp. 1-22, 2020. doi : 10.1016/j.nonrwa.2019.103082. | en_ZA |
dc.subject | Pest control | en_ZA |
dc.subject | Cocoa pest | en_ZA |
dc.subject | Sex-pheromone traps | en_ZA |
dc.subject | Delay differential equations | en_ZA |
dc.subject | Piecewise-smooth system | en_ZA |
dc.subject | Monotone dynamical system | en_ZA |
dc.title | Miridae control using sex-pheromone traps. Modeling, analysis and simulations | en_ZA |
dc.type | Postprint Article | en_ZA |