Fractional mathematical modeling of malaria disease with treatment & insecticides

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dc.contributor.authorSinan, Muhammad
dc.contributor.authorAhmad, Hijaz
dc.contributor.authorAhmad, Zubair
dc.contributor.authorBaili, Jamel
dc.contributor.authorMurtaza, Saqib
dc.contributor.authorAiyashi M.A.
dc.contributor.authorBotmart, Thongchai
dc.date.accessioned2022-10-26T12:07:40Z
dc.date.available2022-10-26T12:07:40Z
dc.date.issued2022en_US
dc.departmentRektörlük, Bilişim Teknolojileri Uygulama ve Araştırma Merkezien_US
dc.description.abstractMany fatal diseases spread through vertical transmission while some of them spread through horizontal transmission and others transmit through both modes of transmission. Horizontal transmission illnesses are usually carried by a vector, which might be an animal, a bird, or an insect. Plasmodium parasites that dwell in red blood cells produce malaria, an infectious illness. This parasite is mostly transmitted to humans via mosquitoes. The dynamics of Malaria illness among human persons and vectors are examined in this study. The impact of the vector (mosquito) on disease transmission is also taken into account. The problem is described using nonlinear ODEs that are then generalized using the Atangana–Baleanu fractional derivative. Some theoretical analyses such as existence and uniqueness and stability via Ulam–Hyres stability analysis and optimal control strategies have been done. The numerical solution has been achieved via a numerical technique by implementing MATLAB software. Results of fractional, as well as classical order, are portrayed through different graphs while some figures are displayed for the global asymptotical stability of the model. From the graphical results, it can be noticed that the control parameters drastically decrease the number of infected human and vector population which will off course minimize the spread of infection among the human population. In addition to that, from the graphical results, it also be noticed that our model is globally asymptomatically stable as the solution converges to its equilibrium. Moreover, the use of bednets and insecticides can reduce the spread of infection dramatically while the impact of medication and treatment on the control of infection is comparatively less.en_US
dc.identifier.doi10.1016/j.rinp.2022.105220en_US
dc.identifier.scopus2-s2.0-85123625379en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://hdl.handle.net/11467/5377
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2022.105220
dc.identifier.volume34en_US
dc.identifier.wosWOS:000788749100014en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofResults in Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAtangana baleanu operatoren_US
dc.subjectExistence and uniquenessen_US
dc.subjectMathematical modelingen_US
dc.subjectMittag-Leffler functionen_US
dc.subjectOptimal control strategiesen_US
dc.subjectUlam stability analysisen_US
dc.titleFractional mathematical modeling of malaria disease with treatment & insecticidesen_US
dc.typeArticleen_US

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