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Mathematical analysis of an extended SEIR model of COVID-19 using the ABC-fractional operator.
- Source :
-
Mathematics & Computers in Simulation . Aug2022, Vol. 198, p65-84. 20p. - Publication Year :
- 2022
-
Abstract
- This paper aims to suggest a time-fractional S P E P I P A I P S P H P R P model of the COVID-19 pandemic disease in the sense of the Atangana–Baleanu–Caputo operator. The proposed model consists of six compartments: susceptible, exposed, infected (asymptomatic and symptomatic), hospitalized and recovered population. We prove the existence and uniqueness of solutions to the proposed model via fixed point theory. Furthermore, a stability analysis in the context of Ulam–Hyers and the generalized Ulam–Hyers criterion is also discussed. For the approximate solution of the suggested model, we use a well-known and efficient numerical technique, namely the Toufik–Atangana numerical scheme, which validates the importance of arbitrary order derivative ϑ and our obtained theoretical results. Finally, a concise analysis of the simulation is proposed to explain the spread of the infection in society. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MATHEMATICAL analysis
*COVID-19
*COVID-19 pandemic
*FRACTIONAL calculus
Subjects
Details
- Language :
- English
- ISSN :
- 03784754
- Volume :
- 198
- Database :
- Academic Search Index
- Journal :
- Mathematics & Computers in Simulation
- Publication Type :
- Periodical
- Accession number :
- 156764763
- Full Text :
- https://doi.org/10.1016/j.matcom.2022.02.009