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

Jean Marie Ntaganda

Department of Applied Mathematics, School of Pure and Applied Science, College of Science and Technology, University of Rwanda, Huye Campus, Butare, Rwanda.

DOI: 10.4236/ojapps.2014.42006                

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.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

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