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

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.

Bibliographic Details

Main Authors:	Anguelov, Roumen, Dumont, Yves, Lubuma, Jean, Mureithi, Eunice
Format:	article biblioteca
Language:	eng
Subjects:	U10 - Informatique, mathématiques et statistiques, L73 - Maladies des animaux, L72 - Organismes nuisibles des animaux, S50 - Santé humaine, modèle mathématique, modèle de simulation, contrôle de maladies, dynamique des populations, Anopheles, malaria, épidémiologie, santé publique, http://aims.fao.org/aos/agrovoc/c_24199, http://aims.fao.org/aos/agrovoc/c_24242, http://aims.fao.org/aos/agrovoc/c_2327, http://aims.fao.org/aos/agrovoc/c_6111, http://aims.fao.org/aos/agrovoc/c_462, http://aims.fao.org/aos/agrovoc/c_34312, http://aims.fao.org/aos/agrovoc/c_2615, http://aims.fao.org/aos/agrovoc/c_6349, http://aims.fao.org/aos/agrovoc/c_7252,
Online Access:	http://agritrop.cirad.fr/568919/ http://agritrop.cirad.fr/568919/1/document_568919.pdf
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