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Numerical Analysis and Transformative Predictions of Fractional Order Epidemic Model during COVID-19 Pandemic: A Critical Study from Bangladesh 被引量:1

Numerical Analysis and Transformative Predictions of Fractional Order Epidemic Model during COVID-19 Pandemic: A Critical Study from Bangladesh
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摘要 The COVID-19 pandemic is a curse and a threat to global health, development, the economy, and peaceful society because of its massive transmission and high rates of mutation. More than 220 countries have been affected by COVID-19. The world is now facing a drastic situation because of this ongoing virus. Bangladesh is also dealing with this issue, and due to its dense population, it is particularly vulnerable to the spread of COVID-19. Recently, many non-linear systems have been proposed to solve the SIR (Susceptible, Infected, and Recovered) model for predicting Coronavirus cases. In this paper, we have discussed the fractional order SIR epidemic model of a non-fatal disease in a population of a constant size. Using the Laplace Adomian Decomposition method, we get an approximate solution to the model. To predict the dynamic transmission of COVID-19 in Bangladesh, we provide a numerical argument based on real data. We also conducted a comparative analysis among susceptible, infected, and recovered people. Furthermore, the most sensitive parameters for the Basic Reproduction Number (<em>R</em><sub>0</sub>) are graphically presented, and the impact of the compartments on the transmission dynamics of the COVID-19 pandemic is thoroughly investigated. The COVID-19 pandemic is a curse and a threat to global health, development, the economy, and peaceful society because of its massive transmission and high rates of mutation. More than 220 countries have been affected by COVID-19. The world is now facing a drastic situation because of this ongoing virus. Bangladesh is also dealing with this issue, and due to its dense population, it is particularly vulnerable to the spread of COVID-19. Recently, many non-linear systems have been proposed to solve the SIR (Susceptible, Infected, and Recovered) model for predicting Coronavirus cases. In this paper, we have discussed the fractional order SIR epidemic model of a non-fatal disease in a population of a constant size. Using the Laplace Adomian Decomposition method, we get an approximate solution to the model. To predict the dynamic transmission of COVID-19 in Bangladesh, we provide a numerical argument based on real data. We also conducted a comparative analysis among susceptible, infected, and recovered people. Furthermore, the most sensitive parameters for the Basic Reproduction Number (<em>R</em><sub>0</sub>) are graphically presented, and the impact of the compartments on the transmission dynamics of the COVID-19 pandemic is thoroughly investigated.
作者 Ovijit Chandrow Neloy Chandra Das Niloy Chandra Shil Niloy Dey Md. Tareque Rahaman Ovijit Chandrow;Neloy Chandra Das;Niloy Chandra Shil;Niloy Dey;Md. Tareque Rahaman(Department of Physics, Shahjalal University of Science and Technology, Sylhet, Bangladesh;Department of Mechanical Engineering, Shahjalal University of Science and Technology, Sylhet, Bangladesh;Department of Computer Science and Engineering, Daffodil International University, Dhaka, Bangladesh;Department of Textile Engineering, Mawlana Bhashani Science and Technology University, Tangail, Bangladesh)
出处 《Journal of Applied Mathematics and Physics》 2021年第9期2258-2276,共19页 应用数学与应用物理(英文)
关键词 COVID-19 BANGLADESH Fractional Order SIR Model Laplace Adomian Decomposition Method BRN COVID-19 Bangladesh Fractional Order SIR Model Laplace Adomian Decomposition Method BRN
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