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International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 3, Pages 105-115
http://dx.doi.org/10.1155/S0161171204307271

A delayed mathematical model for testosterone secretion with feedback control mechanism

Department of Applied Mathematics, University of Calcutta, Calcutta 700 009, India

Received 7 July 2003; Revised 21 July 2003

Copyright © 2004 Hindawi Publishing Corporation. 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 [9 citations]

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

  • Banibrata Mukhopadhyay, and Rakhi Bhattacharyya, “A mathematical model describing the thyroid-pituitary axis with time delays in hormone transportation,” Applications of Mathematics, vol. 51, no. 6, pp. 549–564, 2006. View at Publisher · View at Google Scholar
  • Alexander Churilov, Alexander Medvedev, and Alexander Shepeljavyi, “Bifurcations in a mathematical model of non-basal testosterone production,” IFAC Proceedings Volumes, vol. 41, no. 2, pp. 10319–10324, 2008. View at Publisher · View at Google Scholar
  • Priti Kumar Roy, Sonia Chowdhury, Amar Nath Chatterjee, Joydev Chattopadhyay, and Rachel Norman, “A Mathematical Model On Ctl Mediated Control Of Hiv Infection In A Long-Term Drug Therapy,” Journal of Biological Systems, pp. 1350019, 2013. View at Publisher · View at Google Scholar
  • Alexander Churilov, Alexander Medvedev, and Per Mattsson, “Periodical Solutions in a Pulse-Modulated Model of Endocrine Regulation With Time-Delay,” Ieee Transactions on Automatic Control, vol. 59, no. 3, pp. 728–733, 2014. View at Publisher · View at Google Scholar
  • Alexander Churilov, Alexander Medvedev, and Zhanybai Zhusubaliev, “Periodic Modes and Bistability in an Impulsive Goodwin Oscillator with Large Delay,” IFAC Proceedings Volumes, vol. 47, no. 3, pp. 3340–3345, 2014. View at Publisher · View at Google Scholar
  • Alexander N. Churilov, Alexander Medvedev, and Zhanybai T. Zhusubaliyev, “Impulsive Goodwin oscillator with large delay: Periodic oscillations, bistability, and attractors,” Nonlinear Analysis: Hybrid Systems, 2015. View at Publisher · View at Google Scholar
  • Diana Yamalova, Alexander Churilov, and Alexander Medvedev, “Finite-Dimensional Hybrid Observer for Delayed Impulsive Model of Testosterone Regulation,” Mathematical Problems in Engineering, vol. 2015, pp. 1–12, 2015. View at Publisher · View at Google Scholar
  • Alexander N. Churilov, and Alexander Medvedev, “Discrete-time map for an impulsive Goodwin oscillator with a distributed delay,” Mathematics of Control, Signals, and Systems, vol. 28, no. 1, 2016. View at Publisher · View at Google Scholar
  • Alexander N. Churilov, Alexander Medvedev, and Zhanybai T. Zhusubaliyev, “Discrete-Time Mapping for an Impulsive Goodwin Oscillator with Three Delays,” International Journal of Bifurcation and Chaos, vol. 27, no. 12, pp. 1750182, 2017. View at Publisher · View at Google Scholar