Stability Analysis and Dynamics Preserving Nonstandard Finite Difference Schemes for a Malaria Model

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dc.creatorAnguelov, Roumen
dc.creatorDumont, Yves
dc.creatorLubuma, Jean M.S.
dc.creatorMureithi, Eunice
dc.date2016-07-19T13:01:53Z
dc.date2016-07-19T13:01:53Z
dc.date2013-03
dc.date.accessioned2018-03-27T08:58:00Z
dc.date.available2018-03-27T08:58:00Z
dc.descriptionWhen both human and mosquito populations vary, forward bifurcation occurs if the basic reproduction number R 0 is less than one in the absence of disease-induced death. When the disease-induced death rate is large enough, R 0 = 1 is a subcritical backward bifurcation point. The domain for the study of the dynamics is reduced to a compact and feasible region, where the system admits a specific algebraic decomposition into infective and non-infected humans and mosquitoes. Stability results are extended and the possibility of backward bifurcation is clarified. A dynamically consistent nonstandard finite difference scheme is designed.
dc.identifierAnguelov, R., Dumont, Y., Lubuma, J. and Mureithi, E., 2013. Stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model. Mathematical Population Studies, 20(2), pp.101-122
dc.identifierhttp://hdl.handle.net/20.500.11810/3274
dc.identifier10.1080/08898480.2013.777240
dc.identifier.urihttp://hdl.handle.net/20.500.11810/3274
dc.languageen
dc.subjectBifurcation analysis
dc.subjectDynamic consistency
dc.subjectBlobal asymptotic stability
dc.subjectMalaria
dc.subjectNonstandardfinite difference
dc.titleStability Analysis and Dynamics Preserving Nonstandard Finite Difference Schemes for a Malaria Model
dc.typeJournal Article, Peer Reviewed

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