Caputo Fractional-order SEIRP model for COVID-19 epidemic
| العنوان: | Caputo Fractional-order SEIRP model for COVID-19 epidemic |
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| المؤلفون: | Saheed Ojo Akindeinde, Ramoshweu Solomon Lebelo, A. O. Adewumi, Olanrewaju O Fabelurin, Stephen E. Moore, Eric Okyere |
| المصدر: | Alexandria Engineering Journal Alexandria Engineering Journal, Vol 61, Iss 1, Pp 829-845 (2022) |
| بيانات النشر: | Production and hosting by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University., 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Differential equation, 020209 energy, Population, Context (language use), 02 engineering and technology, Ulam-Hyers stability, 01 natural sciences, Article, Epidemiological modeling, 010305 fluids & plasmas, Exponential stability, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, Applied mathematics, Uniqueness, education, Mathematics, Equilibrium point, education.field_of_study, General Engineering, Engineering (General). Civil engineering (General), Banach fixed-point, Basic reproduction number, Nonlinear system, TA1-2040, Epidemic model |
| الوصف: | We propose a Caputo-based fractional compartmental model for the dynamics of the novel COVID-19 transmission dynamics. The newly proposed nonlinear fractional order differential equation epidemic model is an extension a recently formulated integer-order COVID-19 mathematical model. Using basic concepts such as continuity and Banach fixed-point theorem, the existence and uniqueness of the solution to the proposed model were shown. Furthermore, we analyze the stability of the model in the context of Ulam-Hyers and generalized Ulam-Hyers stability criteria. The concept of next-generation matrices was used to compute the basic reproduction number R0, a number that determines the spread or otherwise of the disease into the general population. We also investigated the local asymptotic stability for the derived disease-free equilibrium point. Numerical simulation of the constructed epidemic model was carried out using the fractional Adam-Bashforth-Moulton method to validate the obtained theoretical results. |
| اللغة: | English |
| تدمد: | 1110-0168 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0b6c33bbaaf2c1af5f2d2011150f419 http://europepmc.org/articles/PMC8096164 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....d0b6c33bbaaf2c1af5f2d2011150f419 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 11100168 |
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