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.
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
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Agents Cirad, auteurs de cette publication :
- Dumont Yves — Bios / UMR AMAP