Optimal control of a spatio-temporal model for Malaria: Synergy treatment and prevention

Zorom Malicki, Zongo Pascal, Barbier Bruno, Somé Blaise. 2012. Optimal control of a spatio-temporal model for Malaria: Synergy treatment and prevention. Journal of Applied Mathematics, 2012:854723, 20 p.

https://doi.org/10.1155/2012/854723

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Quartile : Q2, Sujet : MATHEMATICS, APPLIED

Résumé : We propose a metapopulation model for malaria with two control variables, treatment and prevention, distributed between [pi] different patches (localities). Malaria spreads between these localities through human travel. We used the theory of optimal control and applied a mathematical model for three connected patches. From previous studies with the same data, two patches were identified as reservoirs of malaria infection, namely, the patches that sustain malaria epidemic in the other patches. We argue that to reduce the number of infections and semi-immunes (i.e., asymptomatic carriers of parasites) in overall population, two considerations are needed, (a) For the reservoir patches, we need to apply both treatment and prevention to reduce the number of infections and to reduce the number of semi-immunes; neither the treatment nor prevention were specified at the beginning of the control application, except prevention that seems to be effective at the end. (b) For unreservoir patches, we should apply the treatment to reduce the number of infections, and the same strategy should be applied to semi-immune as in (a).

Mots-clés Agrovoc : malaria, contrôle de maladies, modèle mathématique, modèle de simulation, gestion du risque, épidémiologie, thérapeutique, santé publique

Classification Agris : S50 - Santé humaine
U30 - Méthodes de recherche

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

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