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Discrete Dynamics in Nature and Society
Volume 2014, Article ID 137090, 8 pages
http://dx.doi.org/10.1155/2014/137090
Research Article

Hopf Bifurcation in a Cobweb Model with Discrete Time Delays

1Department of Law, University of Genoa, Via Balbi 30/19, 16126 Genoa, Italy
2Department of Management, Polytechnic University of Marche, Piazza Martelli 8, 60121 Ancona, Italy
3Department of Economics and Management, University of Pisa, Via Cosimo Ridol 10, 56124 Pisa, Italy

Received 28 March 2014; Accepted 14 May 2014; Published 12 June 2014

Academic Editor: Mustafa Kulenović

Copyright © 2014 Luca Gori 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.

Citations to this Article [15 citations]

The following is the list of published articles that have cited the current article.

  • Luca Gori, Luca Guerrini, and Mauro Sodini, “Equilibrium and Disequilibrium Dynamics in Cobweb Models with Time Delays,” International Journal of Bifurcation and Chaos, vol. 25, no. 06, pp. 1550088, 2015. View at Publisher · View at Google Scholar
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  • Luca Guerrini, “Analysis of a commodity market model with delay,” Applied Mathematical Sciences, vol. 9, no. 97-100, pp. 4837–4841, 2015. View at Publisher · View at Google Scholar
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  • Luca Guerrini, “Direction and stability of hopf bifurcation in a delayed model with heterogeneous fundamentalists,” International Journal of Mathematical Analysis, vol. 9, no. 37-40, pp. 1869–1875, 2015. View at Publisher · View at Google Scholar
  • Zizhen Zhang, and Yougang Wang, “SVEIRS epidemic model with delays and partial immunization for internet worms,” Journal of Applied Mathematics and Computing, 2017. View at Publisher · View at Google Scholar
  • Juan Liu, and Kai Wang, “Dynamics of an epidemic model with delays and stage structure,” Computational and Applied Mathematics, 2017. View at Publisher · View at Google Scholar
  • Zizhen Zhang, and Limin Song, “Dynamics of a delayed worm propagation model with quarantine,” Advances in Difference Equations, vol. 2017, no. 1, 2017. View at Publisher · View at Google Scholar
  • Zizhen Zhang, and Limin Song, “Dynamics of a Computer Virus Propagation Model with Delays and Graded Infection Rate,” Advances in Mathematical Physics, vol. 2017, pp. 1–13, 2017. View at Publisher · View at Google Scholar
  • Zizhen Zhang, and Yougang Wang, “Bifurcation Analysis for an SEIRS-V Model with Delays on the Transmission of Worms in a Wireless Sensor Network,” Mathematical Problems in Engineering, vol. 2017, pp. 1–15, 2017. View at Publisher · View at Google Scholar
  • Tao Zhao, Zizhen Zhang, and Ranjit Kumar Upadhyay, “Delay-induced Hopf bifurcation of an SVEIR computer virus model with nonlinear incidence rate,” Advances in Difference Equations, vol. 2018, no. 1, 2018. View at Publisher · View at Google Scholar
  • Zizhen Zhang, Ranjit Kumar Upadhyay, Dianjie Bi, and Ruibin Wei, “Stability and Hopf Bifurcation of a Delayed Epidemic Model of Computer Virus with Impact of Antivirus Software,” Discrete Dynamics in Nature and Society, vol. 2018, pp. 1–18, 2018. View at Publisher · View at Google Scholar