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Olutimo, A.L., Mbah, N.U., Abass, F.A. and Adeyanju, A.A. (2024) Effect of Environmental Immunity on Mathematical Modeling of Malaria Transmission between Vector and Host Population. Journal of Applied Sciences and Environmental Management, 28, 205-212.
https://doi.org/10.4314/jasem.v28i1.23

has been cited by the following article:

• 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.