A mathematical model of malaria transmission in a periodic environment
Résumé
In this paper, we present a mathematical model of malaria transmission dynamics with age structure for the vector population and a periodic biting rate of female anopheles mosquitoes. The human population is divided into two major categories: the most vulnerable called non-immune and the least vulnerable called semi-immune. By applying the theory of uniform persistence and the Floquet theory with comparison principle, we analyse the stability of the diseasefree equilibrium and the behaviour of the model when the basic reproduction ratio R 0 is greater than one or less than one. At last, numerical simulations are carried out to illustrate our mathematical results.
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