Abstract

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 disease-free equilibrium and the behaviour of the model when the basic reproduction ratio is greater than one or less than one. At last, numerical simulations are carried out to illustrate our mathematical results.

Details

Title
A mathematical model of malaria transmission in a periodic environment
Author
Traoré Bakary 1 ; Boureima, Sangaré 1 ; Sado, Traoré 1 

 Department of Mathematics (UFR/ST), Polytechnic University of Bobo-Dioulasso, Bobo-Dioulasso, Burkina Faso 
End page
432
Publication year
2018
Publication date
Dec 2018
Publisher
Taylor & Francis Ltd.
ISSN
17513758
e-ISSN
17513766
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2414661460
Copyright
© 2018 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group. This work is licensed under the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.