Department of Mathematics

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Browsing Department of Mathematics by Author "Anguelov, Roumen"

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    Stability Analysis and Dynamics Preserving Nonstandard Finite Difference Schemes for a Malaria Model
    (2013-03) Anguelov, Roumen; Dumont, Yves; Lubuma, Jean M.S.; Mureithi, Eunice
    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.
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    Stability analysis and dynamics preserving NSFD schemes for a malaria model
    (Mathematical Population Studies: An International Journal of Mathematical Demography, 2013-05-03) Anguelov, Roumen; Dumont, Yves; Lubuma, Jean; Mureithi, Eunice
    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.