Exploring lock-down effects in a fractional order Covid-19 model with crossover behavior

Volume 36, Issue 2, pp 163--174 https://dx.doi.org/10.22436/jmcs.036.02.02

Publication Date: July 15, 2024 Submission Date: January 30, 2024 Revision Date: May 09, 2024 Accteptance Date: May 27, 2024

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Authors

M‎. ‎A‎. ‎ El-Shorbagy - Department of Mathematics‎, ‎College of Science and Humanities in Al-Kharj, ‎Prince Sattam bin Abdulaziz University, ‎Al-Kharj 11942, ‎Saudi Arabia. - Department of Basic Engineering Science‎, ‎Faculty of Engineering, ‎Menoufia University, ‎Shebin El-Kom 32511, ‎Egypt.

Abstract

‎This research article delves into the intricate dynamics of a COVID-19 model‎, ‎uniquely characterized by the integration of lock-down measures through a piecewise operator that encompasses both classical and Caputo operators‎. ‎The article not only examines the model's behavior but also rigorously establishes the existence and uniqueness of solutions for this complex piecewise system‎. ‎To tackle the numerical approximation of solutions‎, ‎the study employs Newton's polynomial interpolation scheme‎, ‎shedding light on the model's behavior under different conditions‎. ‎Through meticulous graphical representations‎, ‎the article effectively communicates the results and numerical solutions across various classes of the model‎, ‎each defined by distinct fractional orders‎. ‎This comprehensive approach provides valuable insights into the pandemic's multifaceted dynamics‎, ‎serving as a basis for understanding its progression and evaluating potential control strategies‎.

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Keywords

• COVID-19
• fractional operator
• existence and uniqueness
• stability analysis
• numerical simulations

MSC

•  26A33
•  34A08
•  92D30

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