| 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.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.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.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 |
|