Trapping the banana weevil, Cosmopolites sordidus, Germar: a mathematical perspective

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dc.contributor.authorKweyunga Eliab Horub
dc.contributor.authorTumwiine, Julius
dc.contributor.authorKaramura, Eldad
dc.date.accessioned2021-05-10T14:50:10Z
dc.date.available2021-05-10T14:50:10Z
dc.date.issued2019-08
dc.descriptionPaper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenyaen_US
dc.description.abstractA logistic equation incorporating trapping is formulated and parameterized to represent the population dynamics of the banana weevil, Cosmopolites Sordidus, (Germar). The steady states are obtained and their asymptotic stability established. The expression for the critical intrinsic growth rate is derived and its implications analyzed. The existence of possible bifurcations is investigated. It is found out that instability increases with the intrinsic growth rate and that as the intrinsic growth rate approaches the critical value, a mathematical catastrophe occurs at which the equilibria annihilate each other and coalesce into one. Numerical simulations are carried out to validate the results.en_US
dc.description.sponsorshipMbarara University of Science and Technology,Uganda. Bioversity International, Ugandaen_US
dc.identifier.urihttp://hdl.handle.net/11071/11803
dc.language.isoen_USen_US
dc.publisherStrathmore Universityen_US
dc.subjectAsymptotic stabilityen_US
dc.subjectBanana weevilen_US
dc.subjectBifurcationen_US
dc.subjectCatastrophe theoryen_US
dc.titleTrapping the banana weevil, Cosmopolites sordidus, Germar: a mathematical perspectiveen_US
dc.typeArticleen_US
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