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June 3, 2026Journal of low frequency noise, vibration and active controlOpen Access

Dynamical analysis and numerical simulation of an SIR epidemic model with control parameters

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Authors

YAYousef AlnafisahMSMohamed Abdelrahman Sohaly

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Overview

Randomized trial explores how vaccination and recovery rates influence epidemic peaks, suggesting practical control strategies.

Key Points

  • This study aims to analyze the SIR epidemic model, emphasizing the effects of vaccination and recovery rates on disease dynamics.
  • Investigated SIR model using both analytical stability analysis and numerical simulations.
  • Incorporated vaccination as a control parameter and assessed its impact on epidemic outcomes.
  • Analyzed equilibrium structure and stability properties of the disease-free equilibrium.
  • Basic reproduction number R0 was determined as 5, indicating outbreak potential when R0 > 1.
  • Increasing vaccination rate from 0 to 0.3 reduced infection peak by 65%.
  • Increasing recovery rate by 50% decreased infection peak by 40%.

Cite This Study

Alnafisah et al. (2026) studied this question.

synapsesocial.com/papers/6a1fc4bbdee9eb8c0dce62dbhttps://doi.org/10.1177/14613484261457464
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