Application of the Modified Adomian Decomposition Method on a Mathematical Model of COVID-19
Application of the Modified Adomian Decomposition Method on a Mathematical Model of COVID-19作者机构：Department of Mathematics School of Mathematics and Natural Sciences The Copperbelt University Kitwe Zambia
出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)
年 卷 期：2023年第11卷第9期
页 面：2597-2614页
学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学]
主 题：COVID-19 Stability Analysis Equilibrium Points Adomian Decomposition Method Modified Adomian Decomposition Method Numerical Analysis
摘 要：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.
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