Stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model
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Date
Authors
Anguelov, Roumen
Dumont, Yves
Lubuma, Jean M.-S.
Mureithi, Eunice W.
Journal Title
Journal ISSN
Volume Title
Publisher
Routledge
Abstract
When 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.
Description
Keywords
Bifurcation analysis, Dynamic consistency, Global asymptotic stability, Malaria, Nonstandard finite difference
Sustainable Development Goals
Citation
ROUMEN 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: 10.1080/08898480.2013.777240