AGE-BASED INVESTIGATION OF COVID-19 PREVALENCE IN ETHIOPIA USING MATHEMATICAL MODELLING
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 223
DOI: https://doi.org/10.56827/SEAJMMS.2024.2001.23
Author :
Himani Agrawal (Agra College, Dr. Bhim Rao Ambedkar University, Agra, INDIA)
Atar Singh (Agra College, Dr. Bhim Rao Ambedkar University, Agra, INDIA)
Shyamsunder (Department of Mathematics, Malaviya National Institute of Technology Jaipur, INDIA)
Harish Sharma (Department of Computer Science and Engineering, Rajasthan Technical University, Kota, INDIA)
S. D. Purohit (Department of HEAS (Mathematics), Rajasthan Technical University, Kota, INDIA)
Abstract
In December 2019, the newest infection, named novel coronavirus COVID-19, appeared, and it became a challenge to the world. In this paper, we investigated a mathematical model that explains the transmission of COVID-19 with the help of ordinary differential equations. Here, we divided the entire model into eight different compartments, namely SEI${}_{1}$I${}_{2}$I${}_{3}$QHR model based on three different age groups. Equilibrium analysis with positivity and boundedness are also investigated. The reproduction number is analyzed using Vandedressche's next-generation matrix. Stability analysis for disease-free equilibrium (DFE) is studied. We have taken some basic parameters with their primary conditions from the Ethiopian Ministry of Health Institute from 29 February 2021 to 07 June 2021.
Keywords and Phrases
COVID-19, Basic Reproduction Number, Stability Analysis.
A.M.S. subject classification
92B05, 92D30, 34A34.
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