Détails Publication
A global mathematical model of malaria transmission dynamics with structured mosquito population and temperature variations,
Discipline: Mathématiques
Auteur(s): TRAORE Bakary, KOUTOU Ousmane, SANGARE Boureima
Auteur(s) tagués: KOUTOU Ousmane
Renseignée par : KOUTOU Ousmane
Résumé

In this paper, a mathematical model of malaria transmission which takes into account the four distinct mosquito metamorphic stages is presented. The model is formulated thanks to the coupling of two sub-models, namely the model of mosquito population and the model of malaria parasite transmission due to the interaction between mosquitoes and humans. Moreover, considering that climate factors have a great impact on the mosquito life cycle and parasite survival in mosquitoes, we incorporate seasonality in the model by considering some parameters which are periodic functions. Through a rigorous analysis via theories and methods of dynamical systems, we prove that the global behavior of the model depends strongly on two biological insightful quantities: the vector reproduction ratio R v and the basic reproduction ratio R 0. Indeed, if R v 1 and R 0

Mots-clés

Malaria transmission, Basic reproduction ratio, Vector reproduction ratio, Mosquito population, Temperature variations, Global stability

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