Anguelov, RoumenDumont, YvesLubuma, Jean M.S.Mureithi, Eunice2016-07-192016-07-192013-03Anguelov, 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.101-122http://hdl.handle.net/20.500.11810/3274When 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.enBifurcation analysisDynamic consistencyBlobal asymptotic stabilityMalariaNonstandardfinite differenceJournal Article, Peer Reviewed10.1080/08898480.2013.777240