Mathematical modeling of malaria disease with control strategy

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dc.contributor.authorMatadi, Maba Boniface
dc.contributor.authorOke, Segun I.
dc.contributor.authorOjo, Michael M.
dc.contributor.authorAdeniyi , Michael O.
dc.date.accessioned2025-11-13T16:42:38Z
dc.date.available2025-11-13T16:42:38Z
dc.date.issued2020
dc.departmentNameMathematical Sciences
dc.description.abstractThis article suggested and analyzed the transmission dynamics of malaria disease in a population using a nonlinear mathematical model. The deterministic compartmental model was examined using stability theory of differential equations. The reproduction number was obtained to be asymptotically stable conditions for the disease-free, and the endemic equilibria were determined. Moreso, the qualitatively evaluated model incorporates time-dependent variable controls which was aimed at reducing the proliferation of malaria disease. The optimal control problem was formulated using Pontryagin’s maximum principle, and three control strategies: disease prevention through bed nets, treatment and insecticides were incorporated. The optimality system was stimulated using an iterative technique of forward-backward Runge-Kutta fourth order scheme, so that the impacts of the control strategies on the infected individuals in the population can be determined. The possible influence of exploring a single control, the combination of two, and the three controls on the spread of the disease was also investigated. Numerical simulation was carried out and pertinent findings are displayed graphically.
dc.facultyFaculty of Science, Agriculture and Engineering
dc.format.preprintNo
dc.identifier.citationOke, S.I., Ojo, M.M., Adeniyi, M.O., and Matadi, M. B. 2020. Mathematical modeling of malaria disease with control strategy, Communications in Mathematical Biology and Neuroscience, (2020) 2020: pp.1-29
dc.identifier.issn2052-2541 (online)
dc.identifier.urihttps://doi.org/10.28919/cmbn/4513
dc.identifier.urihttp://hdl.handle.net/10530/58189
dc.issuenumber2020 / 2020
dc.pages1-29
dc.peerreviewedYes
dc.publisherSCIK Publishing Corporation
dc.subjectMalaria
dc.subjectOptimal control
dc.subjectFemale anopheles
dc.subjectMosquito
dc.subjectStability
dc.titleMathematical modeling of malaria disease with control strategy
dc.title.journalCommunications in Mathematical Biology and Neuroscience
dc.typeJournal Article
dspace.entity.typePublication
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relation.isOrgUnitOfPublication.latestForDiscovery71c06a0e-e111-424c-8caf-20609eacb82c
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