Mathematical modeling of malaria transmission global dynamics: taking into account the immature stages of the vectors

被引：0
|
作者：
Ousmane Koutou
Bakary Traoré
Boureima Sangaré
机构：
[1] UNB,Department of Mathematics and Informatics
来源：
Advances in Difference Equations | / 2018卷
关键词：
Mosquitoes; Malaria transmission; Thresholds dynamics; Stability; Lyapunov principle;
D O I：
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摘要：
In this paper we present a mathematical model of malaria transmission. The model is an autonomous system, constructed by considering two models: a model of vector population and a model of virus transmission. The threshold dynamics of each model is determined and a relation between them established. Furthermore, the Lyapunov principle is applied to study the stability of equilibrium points. The common basic reproduction number has been determined using the next generation matrix and its implication for malaria management analyzed. Hence, we show that if the threshold dynamics quantities are less than unity, the mosquitoes population disappears leading to malaria disappearance; but if they are greater than unity, mosquitoes population persists and malaria also.
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