Effect of vaccination on the transmission dynamics of COVID-19 in Ethiopia

被引:13
作者
Suthar, D. L. [1 ]
Habenom, Haile [1 ]
Aychluh, Mulualem [1 ]
机构
[1] Wollo Univ, Dept Math, POB 1145, Dessie, Ethiopia
关键词
COVID-19; Atangana-Baleanu fractional derivative; Fractional Mathematical Modeling; Basic reproduction number; Jacobi Spectral Collocation Method;
D O I
10.1016/j.rinp.2021.105022
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Governments and health officials are eager to gain a thorough understanding of the dynamics of COVID-19 transmission in order to devise strategies to mitigate the pandemic's negative effects. As a result, we created a new fractional order mathematical model to investigate the dynamics of Covid-19 vaccine transmission in Ethiopia. The nonlinear system of differential equations for the model is represented using Atangana-Baleanu fractional derivative in Caputo sense and the Jacobi spectral collocation method is used to convert this system into an algebraic system of equations, which is then solved using inexact Newton's method. The fundamental reproduction number, R-0 for the proposed model is determined using the next generation matrix approach.
引用
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页数:10
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