Anguelov, RoumenDumont, YvesLubuma, JeanMureithi, Eunice2018-11-082018-11-082013-05-03http://hdl.handle.net/20.500.11810/4979When 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.enbifurcation analysis; dynamic consistency; global asymptotic stability; malaria; nonstandard finite differenceJournal Article, Peer Reviewedhttp://dx.doi.org/10.1080/08898480.2013.777240