Publications des agents du Cirad

Cirad

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

Anguelov R., Dumont Y., Lubuma J., Mureithi E.. 2013. Mathematical Population Studies, 20 (2) : p. 101-122.

DOI: 10.1080/08898480.2013.777240

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.

Mots-clés : modèle mathématique; modèle de simulation; contrôle de maladies; dynamique des populations; anopheles; malaria; Épidémiologie; santé publique; afrique du sud

Documents associés

Article (a-revue à facteur d'impact)

Agents Cirad, auteurs de cette publication :