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Ntaganda, J.M. and Mampassi, B. (2012) Modelling glucose and insulin in diabetic during physical activity. Proceeding of the Fourth International Conference on Mathematical Sciences, Al Ain, 11-14 March 2012, 331-344.

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.