$SEI_aI_sQRS$ epidemic model for COVID-19 by using compartmental analysis and numerical simulation

Document Type : Research Paper

Authors

1 Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.

2 Department of Science, School of Mathematical Sciences, University of Zabol, Zabol, Iran.

Abstract

In this paper, we developed a $SEI_aI_sQRS$ epidemic model for COVID-19 by using compartmental analysis. In this article, the dynamics of COVID-19 are divided into six compartments: susceptible, exposed, asymptomatically infected, symptomatically infected, quarantined, and recovered. The positivity and boundedness of the solutions have been proven. We calculated the basic reproduction number for our model and found both disease-free and endemic equilibria. It is shown that the disease-free equilibrium is globally asymptotically stable. We explained under what conditions, the endemic equilibrium point is locally asymptotically stable. Additionally, the center manifold theorem is applied to examine whether our model undergoes a backward bifurcation at $R_0 = 1$ or not. To finish, we have confirmed our theoretical results by numerical simulation

Keywords

Main Subjects

References

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Computational Methods for Differential Equations
Volume 13, Issue 2
March 2025
Pages 592-607

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History

  • Receive Date: 29 September 2023
  • Revise Date: 24 July 2024
  • Accept Date: 03 August 2024

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