A global mathematical model of malaria transmission dynamics with structured mosquito population and temperature variations
- Nonlinear Analysis: Real World Applications , 53 (103081) : 1-33
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