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

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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.

Original languageEnglish
Pages (from-to)163-174
Number of pages12
JournalJournal of Mathematics and Computer Science
Volume36
Issue number2
DOIs
StatePublished - 2025

Keywords

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

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