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Singh R, Tiwari P, Band SS, Rehman AU, Mahajan S, Ding Y, Liu X, Pandit AK. Impact of quarantine on fractional order dynamical model of Covid-19. Comput Biol Med 2022; 151:106266. [PMID: 36395591 PMCID: PMC9660264 DOI: 10.1016/j.compbiomed.2022.106266] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/29/2022] [Revised: 10/12/2022] [Accepted: 10/30/2022] [Indexed: 11/11/2022]
Abstract
In this paper, a Covid-19 dynamical transmission model of a coupled non-linear fractional differential equation in the Atangana-Baleanu Caputo sense is proposed. The basic dynamical transmission features of the proposed system are briefly discussed. The qualitative as well as quantitative results on the existence and uniqueness of the solutions are evaluated through the fixed point theorem. The Ulam-Hyers stability analysis of the suggested system is established. The two-step Adams-Bashforth-Moulton (ABM) numerical method is employed to find its numerical solution. The numerical simulation is performed to accesses the impact of various biological parameters on the dynamics of Covid-19 disease.
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Affiliation(s)
- Ram Singh
- Baba Ghulam Shah Badshah University Rajouri, 185234, India,Corresponding authors
| | - Prayag Tiwari
- School of Information Technology, Halmstad University, Sweden,Corresponding authors
| | - Shahab S. Band
- Future Technology Research Center, College of Future, National Yunlin University of Science and Technology, Douliou, Taiwan, ROC,Corresponding authors
| | | | - Shubham Mahajan
- School of Electronic and Communication, Shri Mata Vaishno Devi University, Katra, 182320, India,Ajeenka D Y University, Pune, Maharashtra, India,iNurture Education Solutions Pvt. Ltd., Bangalore, India
| | - Yijie Ding
- Yangtze Delta Region Institute (Quzhou), University of Electronic Science and Technology of China, Quzhou, 324000, China
| | - Xiaobin Liu
- Department of Nephrology, The Affiliated Wuxi People’s Hospital of Nanjing Medical University, 214023, Wuxi, China,Corresponding authors
| | - Amit Kant Pandit
- School of Electronic and Communication, Shri Mata Vaishno Devi University, Katra, 182320, India
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