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Complexity
Volume 2018 (2018), Article ID 1263602, 11 pages
https://doi.org/10.1155/2018/1263602
Research Article

Dynamic Analysis for a Kaldor–Kalecki Model of Business Cycle with Time Delay and Diffusion Effect

Wenjie Hu,1,2 Hua Zhao,1,3 and Tao Dong4

1College of Economics and Business Administration, Chongqing University, Chongqing 400030, China
2College of Economics and Management, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
3School of Management, Chongqing Technology and Business University, Chongqing 4000067, China
4College of Electronics and Information Engineering, Southwest University, Chongqing 400715, China

Correspondence should be addressed to Hua Zhao

Received 5 April 2017; Accepted 6 December 2017; Published 9 January 2018

Academic Editor: Dimitri Volchenkov

Copyright © 2018 Wenjie Hu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. Rajaram, B. Castellani, and A. N. Wilson, “Advancing shannon entropy for measuring diversity in systems,” Complexity, vol. 2017, Article ID 8715605, 10 pages, 2017. View at Publisher · View at Google Scholar
  2. D. Wollmann and M. T. A. Steiner, “The strategic decision-making as a complex adaptive system: a conceptual scientific model,” Complexity, vol. 2017, Article ID 7954289, 13 pages, 2017. View at Publisher · View at Google Scholar · View at MathSciNet
  3. H. Saijo, “The uncertainty multiplier and business cycles,” Journal of Economic Dynamics and Control, vol. 78, pp. 1–25, 2017. View at Publisher · View at Google Scholar · View at MathSciNet
  4. K. Hattaf, D. Riad, and N. Yousfi, “A generalized business cycle model with delays in gross product and capital stock,” Chaos, Solitons & Fractals, vol. 98, pp. 31–37, 2017. View at Publisher · View at Google Scholar · View at Scopus
  5. S. Yıldırım-Karaman, “Uncertainty in financial markets and business cycles,” Economic Modelling, vol. 68, pp. 329–339, 2018. View at Publisher · View at Google Scholar
  6. R. A. K. Cox, A. Dayanandan, H. Donker, and J. Nofsinger, “The Bad, the boom and the bust: Profit warnings over the business cycle,” Journal of Economics and Business, vol. 89, pp. 13–19, 2017. View at Publisher · View at Google Scholar · View at Scopus
  7. S. Yıldırım-Karaman, “Uncertainty shocks, central bank characteristics and business cycles,” Economic Systems, vol. 41, no. 3, pp. 379–388, 2017. View at Publisher · View at Google Scholar
  8. B. Zeng, G. Chen, and S.-f. Liu, “A novel interval grey prediction model considering uncertain information,” Journal of The Franklin Institute, vol. 350, no. 10, pp. 3400–3416, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. A. Kaddar and H. Talibi Alaoui, “Hopf bifurcation analysis in a delayed Kaldor-Kalecki model of business cycle,” Nonlinear Analysis: Modelling and Control, vol. 13, no. 4, pp. 439–449, 2008. View at Google Scholar · View at MathSciNet
  10. X. P. Wu, “Codimension-2 bifurcations of the Kaldor model of business cycle,” Chaos, Solitons and Fractals, vol. 44, no. 1-3, pp. 28–42, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  11. X. P. Wu and L. Wang, “Multi-parameter bifurcations of the KALdor-KALecki model of business cycles with delay,” Nonlinear Analysis: Real World Applications, vol. 11, no. 2, pp. 869–887, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. D. Riad, K. Hattaf, and N. Yousfi, “Dynamics of a delayed business cycle model with general investment function,” Chaos, Solitons and Fractals, vol. 85, pp. 110–119, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  13. X. P. Wu, “Zero-Hopf bifurcation analysis of a KALdor-KALecki model of business cycle with delay,” Nonlinear Analysis: Real World Applications, vol. 13, no. 2, pp. 736–754, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. L. I. Dobrescu and D. Opris, “Neimark-Sacker bifurcation for the discrete-delay Kaldor-Kalecki model,” Chaos, Solitons & Fractals, vol. 41, no. 5, pp. 2405–2413, 2009. View at Publisher · View at Google Scholar · View at Scopus
  15. J. Yu and M. Peng, “Stability and bifurcation analysis for the Kaldor-Kalecki model with a discrete delay and a distributed delay,” Physica A: Statistical Mechanics and its Applications, vol. 460, pp. 66–75, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  16. T. Dong, W. Xu, and X. Liao, “Hopf bifurcation analysis of reaction-diffusion neural oscillator system with excitatory-to-inhibitory connection and time delay,” Nonlinear Dynamics, vol. 89, no. 4, pp. 2329–2345, 2017. View at Google Scholar · View at MathSciNet
  17. S. G. Ruan and J. J. Wei, “On the zeros of transcendental functions with applications to stability of delay differential equations with two delays,” Dynamics of Continuous, Discrete & Impulsive Systems A: Mathematical Analysis, vol. 10, no. 6, pp. 863–874, 2003. View at Google Scholar · View at MathSciNet · View at Scopus
  18. J. Wu, Theory and applications of partial functional differential equations, Springer Science & Business Media, 2012.