%0 Journal Article
%T Global Stability Analysis of the Mathematical Model for Malaria Transmission between Vector and Host Population
%A Raghad Alsulami
%A Amal Almatrafi
%A Nehad Almohammadi
%A Hanin Alosaimi
%A H. A. Batarfi
%J American Journal of Computational Mathematics
%P 275-289
%@ 2161-1211
%D 2024
%I Scientific Research Publishing
%R 10.4236/ajcm.2024.142012
%X 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 <i>R</i><sub>0</sub> 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.
%K Malaria Transmission
%K Global Stability
%K Lyapunov Function
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=134295