Anguelov, RoumenDumont, YvesLubuma, Jean M.-S.Mureithi, Eunice W.2013-10-092014-02-282013-02ROUMEN ANGUELOV , YVES DUMONT , JEAN LUBUMA & EUNICE MUREITHI (2013) Stability Analysis and Dynamics Preserving Nonstandard Finite Difference Schemes for a Malaria Model, Mathematical Population Studies: An International Journal of Mathematical Demography, 20:2, 101-122, DOI: 10.1080/08898480.2013.7772400889-8480 (print)1547-724X (online)10.1080/08898480.2013.777240http://hdl.handle.net/2263/31977When 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 R0 = 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 speci c algebraic decomposition into infective and non-infected humans and mosquitoes. Stability results are extended and the possibility of backward bifurcation is clari ed. A dynamically consistent nonstandard nite di erence scheme is designed.en© Taylor & Francis Group, LLC. This is an electronic version of an article published in Mathematical Population Studies, vol. 20, no.2, pp.101-122, 2013. Mathematical Population Studies is available online at : http://www.tandfonline.com/loi/gmps20Bifurcation analysisDynamic consistencyGlobal asymptotic stabilityMalariaNonstandard finite differencePostprint Article