Advances in Difference Equations (May 2017)

Dynamics of a delayed worm propagation model with quarantine

  • Zizhen Zhang,
  • Limin Song

DOI
https://doi.org/10.1186/s13662-017-1212-4
Journal volume & issue
Vol. 2017, no. 1
pp. 1 – 13

Abstract

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Abstract A delayed SEIQRS-V model with quarantine describing the dynamics of worm propagation is considered in the present paper. Local stability of the endemic equilibrium is addressed and the existence of a Hopf bifurcation at the endemic equilibrium is established by analyzing the corresponding characteristic equation. By means of the normal form theory and the center manifold theorem, properties of the Hopf bifurcation at the endemic equilibrium are investigated. Finally, numerical simulations are also given to support our theoretical conclusions.

Keywords