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

Anguelov Roumen, Dumont Yves, Lubuma Jean, Mureithi Eunice. 2013. Stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model. Mathematical Population Studies, 20 (2), spec. : pp. 101-122.

Journal article ; Article de revue à facteur d'impact
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Quartile : Q4, Sujet : STATISTICS & PROBABILITY / Quartile : Q4, Sujet : DEMOGRAPHY / Quartile : Q4, Sujet : MATHEMATICS, INTERDISCIPLINARY APPLICATIONS / Quartile : Q4, Sujet : SOCIAL SCIENCES, MATHEMATICAL METHODS

Liste HCERES des revues (en SHS) : oui

Thème(s) HCERES des revues (en SHS) : Economie-gestion; Sociologie-démographie

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 humans and mosquitoes. Stability results are extended and the possibility of backward bifurcation is clarified. A dynamically consistent nonstandard finite difference scheme is designed. (Résumé d'auteur)

Mots-clés Agrovoc : Modèle mathématique, Modèle de simulation, Contrôle de maladies, Dynamique des populations, Anopheles, Malaria, Épidémiologie, Santé publique

Mots-clés géographiques Agrovoc : Afrique du Sud

Classification Agris : U10 - Mathematical and statistical methods
L73 - Animal diseases
L72 - Pests of animals
000 - Autres thèmes

Champ stratégique Cirad : Axe 4 (2005-2013) - Santé animale et maladies émergentes

Auteurs et affiliations

  • Anguelov Roumen, University of Pretoria (ZAF)
  • Dumont Yves, CIRAD-BIOS-UMR AMAP (FRA) ORCID: 0000-0003-4817-685X
  • Lubuma Jean, University of Pretoria (ZAF)
  • Mureithi Eunice, University of Pretoria (ZAF)

Source : Cirad - Agritrop (https://agritrop.cirad.fr/568919/)

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