Journal
CHAOS SOLITONS & FRACTALS
Volume 146, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2021.110859
Keywords
Epidemic model; COVID-19 pandemic; Caputo?Fabrizio fractional derivative; Existence and uniqueness; Isolation; Quarantine; Numerical simulation
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In this study, an epidemic model of COVID-19 using the Caputo-Fabrizio derivative was investigated. The existence and uniqueness of solution for the model were discussed using the Picard-Lindel?f theorem. Numerical simulations for various values of the fractional order demonstrated the impact of interventions to mitigate the infection, leading to the conclusion that the fractional order epidemic model provides more insights about the disease dynamics.
In this paper, we investigate an epidemic model of the novel coronavirus disease or COVID-19 using the Caputo?Fabrizio derivative. We discuss the existence and uniqueness of solution for the model under consideration, by using the the Picard?Lindel?f theorem. Further, using an efficient numerical approach we present an iterative scheme for the solutions of proposed fractional model. Finally, many numerical simulations are presented for various values of the fractional order to demonstrate the impact of some effective and commonly used interventions to mitigate this novel infection. From the simulation results we conclude that the fractional order epidemic model provides more insights about the disease dynamics. ? 2021 Elsevier Ltd. All rights reserved.
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