Global stability analysis of malaria transmission dynamics with vigilant compartment

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dc.contributor.authorObabiyi, Olawale
dc.contributor.authorOlaniyi, Samson
dc.date.accessioned2021-10-13T20:57:21Z
dc.date.available2021-10-13T20:57:21Z
dc.date.issued2019-01-21
dc.description.abstractA deterministic compartmental model for the transmission dynamics of malaria incorporating vigilant human compartment is studied. The model is qualitatively analyzed to investigate its asymptotic behavior with respect to the equilibria. It is shown, using a linear Lyapunov function, that the disease-free equilibrium is globally asymptotically stable when the associated basic reproduction number is less than the unity. When the basic reproduction number is greater than the unity, under certain specifications on the model parameters, we prove the existence of a globally asymptotically stable endemic equilibrium with the aid of a suitable nonlinear Lyapunov function.
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationObabiyi, O. S., & Olaniyi, S. (2019). Global stability analysis of malaria transmission dynamics with vigilant compartment. <i>Electronic Journal of Differential Equations, 2019</i>(09), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14652
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectGlobal dynamics
dc.subjectMalaria model
dc.subjectBasic reproduction number
dc.subjectLyapunov function
dc.subjectVigilant human compartment
dc.titleGlobal stability analysis of malaria transmission dynamics with vigilant compartment
dc.typeArticle

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