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Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model

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  • Junhong Li
  • Ning Cui

Abstract

The discrete-time epidemic model is investigated, which is obtained using the Euler method. It is verified that there exist some dynamical behaviors in this model, such as transcritical bifurcation, flip bifurcation, Hopf bifurcation, and chaos. The numerical simulations, including bifurcation diagrams and computation of Lyapunov exponents, not only show the consistence with the theoretical analysis but also exhibit the rich and complex dynamical behaviors.

Suggested Citation

  • Junhong Li & Ning Cui, 2013. "Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-8, May.
    • Handle: RePEc:hin:jnddns:705601
    DOI: 10.1155/2013/705601
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    Cited by:

    1. Zhang, Zizhen & Kundu, Soumen & Tripathi, Jai Prakash & Bugalia, Sarita, 2020. "Stability and Hopf bifurcation analysis of an SVEIR epidemic model with vaccination and multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

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