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Dynamics Analysis of a Class of Delayed Economic Model

Author

Listed:
  • Chuangxia Huang
  • Changlin Peng
  • Xiaohong Chen
  • Fenghua Wen

Abstract

This investigation aims at developing a methodology to establish stability and bifurcation dynamics generated by a class of delayed economic model, whose state variable is described by the scalar delay differential equation of the form . At appropriate parameter values, linear stability and Hopf bifurcation including its direction and stability of the economic model are obtained. The main tools to obtain our results are the normal form method and the center manifold theory introduced by Hassard. Simulations show that the theoretically predicted values are in excellent agreement with the numerically observed behavior. Our results extend and complement some earlier publications.

Suggested Citation

  • Chuangxia Huang & Changlin Peng & Xiaohong Chen & Fenghua Wen, 2013. "Dynamics Analysis of a Class of Delayed Economic Model," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, April.
    • Handle: RePEc:hin:jnlaaa:962738
    DOI: 10.1155/2013/962738
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    Cited by:

    1. Liu, Zhifeng & Zhang, Tingting & Li, Wenquan & Kuang, Xiong, 2018. "The neighborhood effects of provincial-level stock market participation in China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 459-468.
    2. Dongmei Guo & Yi Hu & Bingjie Zhang, 2014. "Carbon Market Regulation Mechanism Research Based on Carbon Accumulation Model with Jump Diffusion," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-7, May.

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