Stability analysis and dynamics preserving NSFD schemes for a malaria model
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Date
2013-05-03
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematical Population Studies: An International Journal of Mathematical Demography
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, 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.
Description
Keywords
bifurcation analysis; dynamic consistency; global asymptotic stability; malaria; nonstandard finite difference