Bifurcations analysis of a discrete time SIR epidemic model with nonlinear incidence function

Reny George, Nadia Gul, Anwar Zeb, Zakieh Avazzadeh, Salih Djilali, Shahram Rezapour*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

In this paper, we present a discrete-time SIR epidemic model and investigate the stability of its fixed points, as well as the bifurcations of the one and two parameters. The numerical normal form is used to analyze bifurcations. This model exhibits Neimark–Sacker transcritical, flip, and strong resonance bifurcations. Using the critical coefficients, a scenario is identified for each bifurcation. We verify analytical results using the MATLAB package MatContM, which employs the numerical continuation method.

Original languageEnglish
Article number105580
JournalResults in Physics
Volume38
DOIs
Publication statusPublished - Jul 2022

Keywords

  • Bifurcation
  • Normal form
  • Numerical continuation method
  • One parameter bifurcation
  • SIR epidemic model
  • Stability

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