Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ANALYSIS OF AN SEIQRVS EPIDEMIC DYNAMICS FOR INFECTIOUS VIRAL DISEASE: QUARANTINE AS A CONTROL STRATEGY

  • RAKESH SINGH, TOMAR (Department of Applied Sciences, ABV- Indian Institute of Information Technology & Management Gwalior) ;
  • JOYDIP, DHAR (Department of Applied Sciences, ABV- Indian Institute of Information Technology & Management Gwalior) ;
  • AJAY, KUMAR (Department of Applied Sciences, ABV- Indian Institute of Information Technology & Management Gwalior)
  • Received : 2022.02.08
  • Accepted : 2022.06.05
  • Published : 2023.01.30
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Abstract

An epidemic infectious disease model consists of six compartments viz. Susceptible, Exposed, Infected, Quarantine, Recovered, and Virus with nonlinear saturation incidence rate is proposed to know the viral disease dynamics. There exist two biological equilibrium points for the model system. The system's local and global stability is done through Lyapunov's direct method about equilibrium points. The sensitivity analysis has been performed for the basic reproduction number and equilibrium points through the normalized forward sensitivity index. Sensitivity analysis shows that virus growth and quarantine rates are more sensitive parameters. In support of mathematical conclusions, numerical experimentation has been shown.

Keywords

Acknowledgement

The authors acknowledge the ABV-IIITM and the ministry of education, India, for providing the necessary facility for this work.

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