Stability analysis and dynamics preserving NSFD schemes for a malaria model

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dc.contributor.authorAnguelov, Roumen
dc.contributor.authorDumont, Yves
dc.contributor.authorLubuma, Jean
dc.contributor.authorMureithi, Eunice
dc.date.accessioned2018-11-08T10:16:32Z
dc.date.available2018-11-08T10:16:32Z
dc.date.issued2013-05-03
dc.description.abstractWhen both human and mosquito populations vary, forward bifurcation occurs if the basic reproduction number R0 is less than one in the absence of disease-induced death. When the disease-induced death rate is large enough, R0¼1 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 umans and mosquitoes. Stability results are extended and the possibility of backward bifurcation is clarified. A dynamically consistent nonstandard finite difference scheme is designed.en_US
dc.identifier.doihttp://dx.doi.org/10.1080/08898480.2013.777240
dc.identifier.urihttp://hdl.handle.net/20.500.11810/4979
dc.language.isoenen_US
dc.publisherMathematical Population Studies: An International Journal of Mathematical Demographyen_US
dc.subjectbifurcation analysis; dynamic consistency; global asymptotic stability; malaria; nonstandard finite differenceen_US
dc.titleStability analysis and dynamics preserving NSFD schemes for a malaria modelen_US
dc.typeJournal Article, Peer Revieweden_US
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