Study on the SEIQR model and applying the epidemiological rates of COVID-19 epidemic spread in Saudi Arabia
This article attempts to establish a mathematical epidemic model for the outbreak of the new COVID-19 coronavirus. A new consideration for evaluating and controlling the COVID-19 outbreak will be constructed based on the SEIQR Pandemic Model. In this paper, the real data of COVID-19 spread in Saudi...
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KeAi Communications Co., Ltd.
2021-01-01
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doaj-3130a3e37d354ef8842954b7fcb67be02021-04-24T05:58:08ZengKeAi Communications Co., Ltd.Infectious Disease Modelling2468-04272021-01-016678692Study on the SEIQR model and applying the epidemiological rates of COVID-19 epidemic spread in Saudi ArabiaHamdy Youssef0Najat Alghamdi1Magdy A. Ezzat2Alaa A. El-Bary3Ahmed M. Shawky4Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, Makkah, Saudi Arabia; Corresponding author.Department of Mathematics, Faculty of Applied Science, Umm Al-Qura University, Makkah, Saudi ArabiaCollege of Science and Arts, Qassim University, Al Bukairiyah, Al Qassim, Saudi ArabiaArab Academy for Science, Technology and Maritime Transport, P.O. Box 1029, Alexandria, Egypt; National Committee for Mathematics, Academy of Scientific Research and Technology, EgyptScience and Technology Unit (STU), Umm Al-Qura University, Makkah, Saudi ArabiaThis article attempts to establish a mathematical epidemic model for the outbreak of the new COVID-19 coronavirus. A new consideration for evaluating and controlling the COVID-19 outbreak will be constructed based on the SEIQR Pandemic Model. In this paper, the real data of COVID-19 spread in Saudi Arabia has been used for the mathematical model and dynamic analyses. Including the new reproductive number and detailed stability analysis, the dynamics of the proposed SEIQR model have been applied. The local sensitivity of the reproduction number has been analyzed. The domain of solution and equilibrium based on the SEIQR model have been proved using a Jacobian linearization process. The state of equilibrium and its significance have been proved, and a study of the integrity of the disease-free equilibrium has been carried out. The Lyapunov stability theorem demonstrated the global stability of the current model equilibrium. The SEIQR model has been numerically validated and projected by contrasting the results from the SEIQR model with the actual COVID-19 spread data in Saudi Arabia. The result of this paper shows that the SEIQR model is a model that is effective in analyzing epidemic spread, such as COVID-19. At the end of the study, we have implemented the protocol which helped the Saudi population to stop the spread of COVID-19 rapidly.http://www.sciencedirect.com/science/article/pii/S2468042721000348COVID-19Jacobian matrixLyapunov stabilityReproduction numberSEIR modelSEIQR model |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Hamdy Youssef Najat Alghamdi Magdy A. Ezzat Alaa A. El-Bary Ahmed M. Shawky |
spellingShingle |
Hamdy Youssef Najat Alghamdi Magdy A. Ezzat Alaa A. El-Bary Ahmed M. Shawky Study on the SEIQR model and applying the epidemiological rates of COVID-19 epidemic spread in Saudi Arabia Infectious Disease Modelling COVID-19 Jacobian matrix Lyapunov stability Reproduction number SEIR model SEIQR model |
author_facet |
Hamdy Youssef Najat Alghamdi Magdy A. Ezzat Alaa A. El-Bary Ahmed M. Shawky |
author_sort |
Hamdy Youssef |
title |
Study on the SEIQR model and applying the epidemiological rates of COVID-19 epidemic spread in Saudi Arabia |
title_short |
Study on the SEIQR model and applying the epidemiological rates of COVID-19 epidemic spread in Saudi Arabia |
title_full |
Study on the SEIQR model and applying the epidemiological rates of COVID-19 epidemic spread in Saudi Arabia |
title_fullStr |
Study on the SEIQR model and applying the epidemiological rates of COVID-19 epidemic spread in Saudi Arabia |
title_full_unstemmed |
Study on the SEIQR model and applying the epidemiological rates of COVID-19 epidemic spread in Saudi Arabia |
title_sort |
study on the seiqr model and applying the epidemiological rates of covid-19 epidemic spread in saudi arabia |
publisher |
KeAi Communications Co., Ltd. |
series |
Infectious Disease Modelling |
issn |
2468-0427 |
publishDate |
2021-01-01 |
description |
This article attempts to establish a mathematical epidemic model for the outbreak of the new COVID-19 coronavirus. A new consideration for evaluating and controlling the COVID-19 outbreak will be constructed based on the SEIQR Pandemic Model. In this paper, the real data of COVID-19 spread in Saudi Arabia has been used for the mathematical model and dynamic analyses. Including the new reproductive number and detailed stability analysis, the dynamics of the proposed SEIQR model have been applied. The local sensitivity of the reproduction number has been analyzed. The domain of solution and equilibrium based on the SEIQR model have been proved using a Jacobian linearization process. The state of equilibrium and its significance have been proved, and a study of the integrity of the disease-free equilibrium has been carried out. The Lyapunov stability theorem demonstrated the global stability of the current model equilibrium. The SEIQR model has been numerically validated and projected by contrasting the results from the SEIQR model with the actual COVID-19 spread data in Saudi Arabia. The result of this paper shows that the SEIQR model is a model that is effective in analyzing epidemic spread, such as COVID-19. At the end of the study, we have implemented the protocol which helped the Saudi population to stop the spread of COVID-19 rapidly. |
topic |
COVID-19 Jacobian matrix Lyapunov stability Reproduction number SEIR model SEIQR model |
url |
http://www.sciencedirect.com/science/article/pii/S2468042721000348 |
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