Pepe, P. and Jiang, Z.P. (2005) A Lyapunov-Krasovski methodology for ISS and IISS for time-delay system. Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, Seville, 12-15 December 2005.

has been cited by the following article:

• TITLE: Hopf Bifurcation of a Two Delay Mathematical Model of Glucose and Insulin during Physical Activity

  AUTHORS: Jean Marie Ntaganda

  KEYWORDS: Systemic Arterial Pressure; Systemic Venous Pressure; Cardiovascular/Respiratory System; Delay; Numerical Simulation; Glucose; Insulin

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.4 No.2, February 26, 2014

  ABSTRACT: In this paper, we are interested in looking for Hopf bifurcation solutions for mathematical model of plasma glucose and insulin during physical activity. The mathematical model is governed by a system of delay differential equations. The algorithm for determining the critical delays that are appropriate for Hopf bifurcation is used. The illustrative example is taken for a 30 years old woman who practices regular three types of physical activity: walking, jogging and running fast.