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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 736058, 7 pages
http://dx.doi.org/10.1155/2013/736058
Research Article

Qualitative Analysis of a Retarded Mathematical Framework with Applications to Living Systems

1Dipartimento di Scienze Matematiche, Politecnico, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
2Department of Law and Economics, University Mediterranea of Reggio Calabria and CRIOS, University Bocconi of Milan, Via dei Bianchi 2, 89127 Reggio Calabria, Italy
3Department of Management, Polytechnic University of Marche, 60121 Ancona, Italy

Received 3 September 2013; Accepted 12 November 2013

Academic Editor: Constantin Udriste

Copyright © 2013 Carlo Bianca 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.

  • Juan Liu, “Dynamical analysis of a delayed predator-prey system with modified Leslie-Gower and Beddington-DeAngelis functional response,” Advances In Difference Equations, 2014. View at Publisher · View at Google Scholar
  • Carlo Bianca, and Luca Guerrini, “Existence of Limit Cycles in the Solow Model with Delayed-Logistic Population Growth,” The Scientific World Journal, vol. 2014, pp. 1–8, 2014. View at Publisher · View at Google Scholar
  • Carlo Bianca, Luca Guerrini, and Annie Lemarchand, “Existence of Solutions of a Partial Integrodifferential Equation with Thermostat and Time Delay,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • Carlo Bianca, and Annie Lemarchand, “Multiscale Analysis of a Retarded Equation: From Kinetic to Macroscopic Scale,” IFAC-PapersOnLine, vol. 48, no. 1, pp. 640–644, 2015. View at Publisher · View at Google Scholar
  • Carlo Bianca, and Luca Guerrini, “Hopf bifurcations in a delayed microscopic model of credit risk contagion,” Applied Mathematics and Information Sciences, vol. 9, no. 3, pp. 1493–1497, 2015. View at Publisher · View at Google Scholar
  • Carlo Bianca, Luca Guerrini, and Julien Riposo, “A delayed mathematical model for the acute inflammatory response to infection,” Applied Mathematics and Information Sciences, vol. 9, no. 6, pp. 2775–2782, 2015. View at Publisher · View at Google Scholar
  • Martine Ben Amar, and Carlo Bianca, “Multiscale modeling of fibrosis – What's next? Reply to Comments on “Towards a unified approach in the modeling of fibrosis: A review with research perspective” by Martine Ben Amar and Carlo Bianca,” Physics of Life Reviews, 2016. View at Publisher · View at Google Scholar
  • Juan Liu, and Lijun Sun, “Dynamical Analysis of a Food Chain System with Two Delays,” Qualitative Theory Of Dynamical Systems, vol. 15, no. 1, pp. 95–126, 2016. View at Publisher · View at Google Scholar
  • Martine Ben Amar, and Carlo Bianca, “Towards a unified approach in the modeling of fibrosis: A review with research perspectives,” Physics of Life Reviews, 2016. View at Publisher · View at Google Scholar
  • Luca Guerrini, “The role of time delay in the modeling of fibrosis,” Physics of Life Reviews, 2016. View at Publisher · View at Google Scholar
  • Zizhen Zhang, and Dianjie Bi, “Dynamical Analysis of a Computer Virus Propagation Model with Delay and Infectivity in Latent Period,” Discrete Dynamics in Nature and Society, vol. 2016, pp. 1–9, 2016. View at Publisher · View at Google Scholar
  • Beibei Wang, Min Zhao, Chuanjun Dai, Hengguo Yu, Nan Wang, and Pengfei Wang, “Dynamics Analysis of a Nutrient-Plankton Model with a Time Delay,” Discrete Dynamics in Nature and Society, vol. 2016, pp. 1–12, 2016. 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