TITLE:
Global Stability Analysis of the Mathematical Model for Malaria Transmission between Vector and Host Population
AUTHORS:
Raghad Alsulami, Amal Almatrafi, Nehad Almohammadi, Hanin Alosaimi, H. A. Batarfi
KEYWORDS:
Malaria Transmission, Global Stability, Lyapunov Function
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.14 No.2,
June
30,
2024
ABSTRACT: In this paper, we discuss a mathematical model of malaria transmission between vector and host population. We study the basic qualitative properties of the model, the boundedness and non-negativity, calculate all equilibria, and prove the global stability of them and the behaviour of the model when the basic reproduction ratio R0 is greater than one or less than one. The global stability of equilibria is established by using Lyapunov method. Graphical representations of the calculated parameters and their effects on disease eradication are provided.