Stability Analysis and Dynamics Preserving Nonstandard Finite Difference Schemes for a Malaria Model
dc.creator | Anguelov, Roumen | |
dc.creator | Dumont, Yves | |
dc.creator | Lubuma, Jean M.S. | |
dc.creator | Mureithi, Eunice | |
dc.date | 2016-07-19T13:01:53Z | |
dc.date | 2016-07-19T13:01:53Z | |
dc.date | 2013-03 | |
dc.date.accessioned | 2018-03-27T08:58:00Z | |
dc.date.available | 2018-03-27T08:58:00Z | |
dc.description | When 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.identifier | Anguelov, 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.identifier | http://hdl.handle.net/20.500.11810/3274 | |
dc.identifier | 10.1080/08898480.2013.777240 | |
dc.identifier.uri | http://hdl.handle.net/20.500.11810/3274 | |
dc.language | en | |
dc.subject | Bifurcation analysis | |
dc.subject | Dynamic consistency | |
dc.subject | Blobal asymptotic stability | |
dc.subject | Malaria | |
dc.subject | Nonstandardfinite difference | |
dc.title | Stability Analysis and Dynamics Preserving Nonstandard Finite Difference Schemes for a Malaria Model | |
dc.type | Journal Article, Peer Reviewed |