4.7 Article

Modeling the epidemic control measures in overcoming COVID-19 outbreaks: A fractional-order derivative approach

Journal

CHAOS SOLITONS & FRACTALS
Volume 155, Issue -, Pages -

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2021.111636

Keywords

COVID-19; Control measures; Infectious diseases; Caputo fractional-order derivative

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The spread and control of the novel coronavirus is a significant global challenge. Through mathematical modeling and analysis, this study highlights the importance of control measures such as lockdown, self-protection, social distancing, and isolation in controlling the pandemic.
Novel coronavirus named SARS-CoV-2 is one of the global threads and uncertain challenges worldwide faced at present. It has stroke rapidly around the globe due to viral transmissibility, new variants (strains), and human unconsciousness. Lack of adequate and reliable vaccination and proper treatment, control measures such as self-protection, physical distancing, lockdown, quarantine, and isolation policy plays an essential role in controlling and reducing the pandemic. Decisions on enforcing various control measures should be determined based on a theoretical framework and real-data evidence. We deliberate a general mathematical control measures epidemic model consisting of lockdown, self-protection, physical distancing, quarantine, and isolation compartments. Then, we investigate the proposed model through Caputo fractional order derivative. Fixed point theory has been used to analyze the Caputo fractional-order derivative model's existence and uniqueness solutions, whereas the Adams-Bashforth-Moulton numerical scheme was applied for numerical simulation. Driven by extensive theoretical analysis and numerical simulation, this work further illuminates the substantial impact of various control measures. (c) 2021 Elsevier Ltd. All rights reserved.

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