Stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model

Show simple item record Anguelov, Roumen Dumont, Yves Lubuma, Jean M.-S. Mureithi, Eunice W. 2013-10-09T11:14:30Z 2014-02-28T00:20:05Z 2013-02
dc.description.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. en_US
dc.description.librarian hb2013 en_US
dc.description.sponsorship Yves Dumont was supported jointly by the French Ministry of Health and the 2007–2013 Convergence program of the European Regional Development Fund (ERDF). Roumen Anguelov, Jean Lubuma, and Eunice Mureithi thank the South African National Research Foundation for its support. en_US
dc.description.uri en_US
dc.identifier.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 en_US
dc.identifier.issn 0889-8480 (print)
dc.identifier.issn 1547-724X (online)
dc.identifier.other 10.1080/08898480.2013.777240
dc.language.iso en en_US
dc.publisher Routledge en_US
dc.rights © Taylor & Francis Group, LLC. This is an electronic version of an article published in Mathematical Population Studies, vol. 20, no.2, pp.101-122, 2013. Mathematical Population Studies is available online at : en_US
dc.subject Bifurcation analysis en_US
dc.subject Dynamic consistency en_US
dc.subject Global asymptotic stability en_US
dc.subject Malaria en_US
dc.subject Nonstandard finite difference en_US
dc.title Stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model en_US
dc.type Postprint Article en_US

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