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Journal of Applied Mathematics and Computation

ISSN Online: 2576-0653 ISSN Print: 2576-0645 CODEN: JAMCEZ
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ArticleOpen Access http://dx.doi.org/10.26855/jamc.2025.12.009

Investigation of the Spread of COVID-19 in Bangladesh by Using the SIR Model

Jannatul Ferdous1,*, Md Rasel Ahmed2, Md. Laek Sazzad Andallah1

1Department of Mathematics, Jahangirnagar University, Dhaka 1342, Bangladesh.

2Department of Mathematics, Uattara University, Dhaka 1230, Bangladesh.

*Corresponding author:Jannatul Ferdous

Published: December 31,2025

Abstract

In this paper, we examine the COVID-19 pandemic’s spread pattern by using a system of ordinary differential equations model known as the SIR model. Here, we study the dynamics of the susceptible, infected, and removed population of COVID-19 in Bangladesh by the modified SIR model considering disease-induced death rate. We use the method of linearization to determine the general form of the model’s solution and for the stability analysis. From the stability analysis in terms of the basic reproduction number, we find the herd immunity threshold and perform sensitivity analysis. The effect of changing various parameters is also shown in this study. We use the modified SIR model to estimate the infected and removed population of COVID-19 in Bangladesh. Finally, we compare the estimation of the SIR model, including the diseases-induced death rate, and the estimation of the SIR model without including the diseas-es-induced death rate.

Keywords

SIR model; Diseases Induced Death Rate; Stability Analysis; Basic Reproduction Number; Herd Immunity Threshold

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How to cite this paper

Investigation of the Spread of COVID-19 in Bangladesh by Using the SIR Model

How to cite this paper: Jannatul Ferdous, Md Rasel Ahmed, Md. Laek Sazzad Andallah. (2025) Investigation of the Spread of COVID-19 in Bangladesh by Using the SIR Model. Journal of Applied Mathematics and Computation9(4), 289-305.

DOI: http://dx.doi.org/10.26855/jamc.2025.12.009