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Dynamics Analysis of a Delayed Rumor Propagation Model in an Emergency-Affected Environment

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  • Chunru Li
  • Zujun Ma

Abstract

Rumors influence people’s decisions in an emergency-affected environment. How to describe the spreading mechanism is significant. In this paper, we propose a delayed rumor propagation model in emergencies. By taking the delay as the bifurcation parameter, the local stability of the boundary equilibrium point and the positive equilibrium point is investigated and the conditions of Hopf bifurcation are obtained. Furthermore, formulas for determining the direction of Hopf bifurcation and the stability of the bifurcating periodic solutions are derived by applying the normal form method and center manifold theorem. Finally, some numerical simulations are also given to illustrate our theoretical results.

Suggested Citation

  • Chunru Li & Zujun Ma, 2015. "Dynamics Analysis of a Delayed Rumor Propagation Model in an Emergency-Affected Environment," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-13, October.
    • Handle: RePEc:hin:jnddns:269561
    DOI: 10.1155/2015/269561
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