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

D L Suthar; Haile Habenom; Mulualem Aychluh

doi:10.1016/j.rinp.2021.105022

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

Results Phys. 2022 Jan:32:105022. doi: 10.1016/j.rinp.2021.105022. Epub 2021 Nov 27.

Authors

D L Suthar¹, Haile Habenom¹, Mulualem Aychluh¹

Affiliation

¹ Department of mathematics, Wollo university, P.O. box: 1145, Dessie, Ethiopia.

Abstract

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.

Keywords: Atangana–Baleanu fractional derivative; Basic reproduction number; COVID-19; Fractional Mathematical Modeling; Jacobi Spectral Collocation Method.