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Muhammad, F., Muhammad, U.S., Aqeel, A. and Ahmad, M.O. (2018) Analysis and Numerical Solution of SEIR Epidemic Model of Measles with Non-Integer Time Fractional Derivatives by Using Laplace Adomian Decomposition Method. Ain Shams Engineering Journal, 9, 93391-3397.
https://doi.org/10.1016/j.asej.2017.11.010

has been cited by the following article:

• TITLE: Application of the Modified Adomian Decomposition Method on a Mathematical Model of COVID-19

  AUTHORS: Justina Mulenga, Patrick Azere Phiri

  KEYWORDS: COVID-19, Stability Analysis, Equilibrium Points, Adomian Decomposition Method, Modified Adomian Decomposition Method, Numerical Analysis

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.9, September 19, 2023

  ABSTRACT: In this study, we constructed and analysed a mathematical model of COVID-19 in order to comprehend the transmission dynamics of the disease. The reproduction number (RC) was calculated via the next generation matrix method. We also used the Lyaponuv method to show the global stability of both the disease free and endemic equilibrium points. The results showed that the disease-free equilibrium point is globally asymptotically stable if RC RC > 1. We further used the Adomian decomposition method and the modified Adomian decomposition method to obtain the solutions of the model. Numerical analysis of the model was done using Sagemath 9.0 software.