A fractional-order dynamical model of the SEIVRS epidemic with temporary immunity and transport-related infection
We propose an epidemic model as a system of FDEs to describe transmission amongst different locations that affect the epidemiological spread and the vaccination to control the disease. Our primary target is to focus on the necessity of the lockdown period, sometimes seen as interfering with private...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-09-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016823006609 |
| _version_ | 1797736880497754112 |
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| author | Ali Yousef |
| author_facet | Ali Yousef |
| author_sort | Ali Yousef |
| collection | DOAJ |
| description | We propose an epidemic model as a system of FDEs to describe transmission amongst different locations that affect the epidemiological spread and the vaccination to control the disease. Our primary target is to focus on the necessity of the lockdown period, sometimes seen as interfering with private life in mobility, and the need for vaccines to minimize the transmission in the interior and external stages. We prove that controlling social contact was necessary during the pandemic spread to stop transmissions between different locations (travel, periodic lockdowns, social distance,…) and that re-vaccinations were needed to avoid reinfections.Using Routh Hurwitz's theory, we examin the local stability of the equilibrium points—the disease-free and coexisting. Employing the Lyapunov function, our research demonstrate global asymptotic stability towards the equilibrium points. At the end of the study, we provide some numerical simulations to corroborate our theoretical findings. |
| first_indexed | 2024-03-12T13:19:33Z |
| format | Article |
| id | doaj.art-8df808d9506f4f91a65887033e9e4a8a |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-03-12T13:19:33Z |
| publishDate | 2023-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-8df808d9506f4f91a65887033e9e4a8a2023-08-26T04:43:00ZengElsevierAlexandria Engineering Journal1110-01682023-09-0178592613A fractional-order dynamical model of the SEIVRS epidemic with temporary immunity and transport-related infectionAli Yousef0Department of Natural Sciences and Mathematics, College of Engineering, International University of Science and Technology in Kuwait, 92400 Al-Ardiya, KuwaitWe propose an epidemic model as a system of FDEs to describe transmission amongst different locations that affect the epidemiological spread and the vaccination to control the disease. Our primary target is to focus on the necessity of the lockdown period, sometimes seen as interfering with private life in mobility, and the need for vaccines to minimize the transmission in the interior and external stages. We prove that controlling social contact was necessary during the pandemic spread to stop transmissions between different locations (travel, periodic lockdowns, social distance,…) and that re-vaccinations were needed to avoid reinfections.Using Routh Hurwitz's theory, we examin the local stability of the equilibrium points—the disease-free and coexisting. Employing the Lyapunov function, our research demonstrate global asymptotic stability towards the equilibrium points. At the end of the study, we provide some numerical simulations to corroborate our theoretical findings.http://www.sciencedirect.com/science/article/pii/S1110016823006609Epidemiological spreadTransport-related infectionStability analysisFractional-order differential equationDiscretization process |
| spellingShingle | Ali Yousef A fractional-order dynamical model of the SEIVRS epidemic with temporary immunity and transport-related infection Alexandria Engineering Journal Epidemiological spread Transport-related infection Stability analysis Fractional-order differential equation Discretization process |
| title | A fractional-order dynamical model of the SEIVRS epidemic with temporary immunity and transport-related infection |
| title_full | A fractional-order dynamical model of the SEIVRS epidemic with temporary immunity and transport-related infection |
| title_fullStr | A fractional-order dynamical model of the SEIVRS epidemic with temporary immunity and transport-related infection |
| title_full_unstemmed | A fractional-order dynamical model of the SEIVRS epidemic with temporary immunity and transport-related infection |
| title_short | A fractional-order dynamical model of the SEIVRS epidemic with temporary immunity and transport-related infection |
| title_sort | fractional order dynamical model of the seivrs epidemic with temporary immunity and transport related infection |
| topic | Epidemiological spread Transport-related infection Stability analysis Fractional-order differential equation Discretization process |
| url | http://www.sciencedirect.com/science/article/pii/S1110016823006609 |
| work_keys_str_mv | AT aliyousef afractionalorderdynamicalmodeloftheseivrsepidemicwithtemporaryimmunityandtransportrelatedinfection AT aliyousef fractionalorderdynamicalmodeloftheseivrsepidemicwithtemporaryimmunityandtransportrelatedinfection |