Impact of quarantine on fractional order dynamical model of Covid-19

Ram Singh; Prayag Tiwari; Shahab S Band; Attiq U Rehman; Shubham Mahajan; Yijie Ding; Xiaobin Liu; Amit Kant Pandit

doi:10.1016/j.compbiomed.2022.106266

Impact of quarantine on fractional order dynamical model of Covid-19

Comput Biol Med. 2022 Dec;151(Pt A):106266. doi: 10.1016/j.compbiomed.2022.106266. Epub 2022 Nov 9.

Authors

Ram Singh¹, Prayag Tiwari², Shahab S Band³, Attiq U Rehman⁴, Shubham Mahajan⁵, Yijie Ding⁶, Xiaobin Liu⁷, Amit Kant Pandit⁸

Affiliations

¹ Baba Ghulam Shah Badshah University Rajouri, 185234, India. Electronic address: drramsinghmaths@gmail.com.
² School of Information Technology, Halmstad University, Sweden. Electronic address: prayag.tiwari@ieee.org.
³ Future Technology Research Center, College of Future, National Yunlin University of Science and Technology, Douliou, Taiwan, ROC. Electronic address: shamshirbands@yuntech.edu.tw.
⁴ Baba Ghulam Shah Badshah University Rajouri, 185234, India. Electronic address: attiqrehman24@gmail.com.
⁵ 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. Electronic address: mahajanshubham2232579@gmail.com.
⁶ Yangtze Delta Region Institute (Quzhou), University of Electronic Science and Technology of China, Quzhou, 324000, China. Electronic address: wuxi_dyj@163.com.
⁷ Department of Nephrology, The Affiliated Wuxi People's Hospital of Nanjing Medical University, 214023, Wuxi, China. Electronic address: viplxb163@163.com.
⁸ School of Electronic and Communication, Shri Mata Vaishno Devi University, Katra, 182320, India. Electronic address: amitkantpandit@gmail.com.

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.

Keywords: Equilibria points; Existence and uniqueness; Numerical simulations; Ulam–Hyers stability.

MeSH terms

COVID-19*
Computer Simulation
Humans
Quarantine*