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.