A SEIR Epidemic Model of Whooping Cough-Like Infections and Its Dynamically Consistent Approximation
Whooping cough is a highly transmitted disease around the world. According to the World Health Organization (WHO), 0.15 million cases had reported globally in 2018. Most of the Asian and African states are infected regions. Through the study, we investigated the whole population into the four classe...
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| Main Authors: | , , , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/3642444 |
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| author | M.M. Alqarni Arooj Nasir Maryam Ahmed Alyami Ali Raza Jan Awrejcewicz Muhammad Rafiq Nauman Ahmed Tahira Sumbal Shaikh Emad E. Mahmoud |
| author_facet | M.M. Alqarni Arooj Nasir Maryam Ahmed Alyami Ali Raza Jan Awrejcewicz Muhammad Rafiq Nauman Ahmed Tahira Sumbal Shaikh Emad E. Mahmoud |
| author_sort | M.M. Alqarni |
| collection | DOAJ |
| description | Whooping cough is a highly transmitted disease around the world. According to the World Health Organization (WHO), 0.15 million cases had reported globally in 2018. Most of the Asian and African states are infected regions. Through the study, we investigated the whole population into the four classes susceptible (S), exposed (E), infected (I), and vaccinated or recovered (R). The transmission dynamics of whooping cough disease are studied analytically and numerically. Analytical analyses are positivity, boundedness, reproduction number, equilibria, and local and global stabilities. In numerical analysis, we developed an implicit numerical integration scheme consistent with the biological problem’s properties. The analysis of the implicit method for the said model is dynamically consistent, positive, and bounded. Furthermore, an implicit numerical integration scheme is suitable for studying a particular epidemic model such as the whooping cough disease. |
| format | Article |
| id | doaj-art-2a698c11ea3545a5acbda4a831183da3 |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-2a698c11ea3545a5acbda4a831183da32025-02-03T00:59:36ZengWileyComplexity1099-05262022-01-01202210.1155/2022/3642444A SEIR Epidemic Model of Whooping Cough-Like Infections and Its Dynamically Consistent ApproximationM.M. Alqarni0Arooj Nasir1Maryam Ahmed Alyami2Ali Raza3Jan Awrejcewicz4Muhammad Rafiq5Nauman Ahmed6Tahira Sumbal Shaikh7Emad E. Mahmoud8Department of MathematicsBaqai Medical UniversityDepartment of MathematicsDepartment of MathematicsDepartment of AutomationDepartment of MathematicsDepartment of Mathematics and StatisticsDepartment of MathematicsDepartment of MathematicsWhooping cough is a highly transmitted disease around the world. According to the World Health Organization (WHO), 0.15 million cases had reported globally in 2018. Most of the Asian and African states are infected regions. Through the study, we investigated the whole population into the four classes susceptible (S), exposed (E), infected (I), and vaccinated or recovered (R). The transmission dynamics of whooping cough disease are studied analytically and numerically. Analytical analyses are positivity, boundedness, reproduction number, equilibria, and local and global stabilities. In numerical analysis, we developed an implicit numerical integration scheme consistent with the biological problem’s properties. The analysis of the implicit method for the said model is dynamically consistent, positive, and bounded. Furthermore, an implicit numerical integration scheme is suitable for studying a particular epidemic model such as the whooping cough disease.http://dx.doi.org/10.1155/2022/3642444 |
| spellingShingle | M.M. Alqarni Arooj Nasir Maryam Ahmed Alyami Ali Raza Jan Awrejcewicz Muhammad Rafiq Nauman Ahmed Tahira Sumbal Shaikh Emad E. Mahmoud A SEIR Epidemic Model of Whooping Cough-Like Infections and Its Dynamically Consistent Approximation Complexity |
| title | A SEIR Epidemic Model of Whooping Cough-Like Infections and Its Dynamically Consistent Approximation |
| title_full | A SEIR Epidemic Model of Whooping Cough-Like Infections and Its Dynamically Consistent Approximation |
| title_fullStr | A SEIR Epidemic Model of Whooping Cough-Like Infections and Its Dynamically Consistent Approximation |
| title_full_unstemmed | A SEIR Epidemic Model of Whooping Cough-Like Infections and Its Dynamically Consistent Approximation |
| title_short | A SEIR Epidemic Model of Whooping Cough-Like Infections and Its Dynamically Consistent Approximation |
| title_sort | seir epidemic model of whooping cough like infections and its dynamically consistent approximation |
| url | http://dx.doi.org/10.1155/2022/3642444 |
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