Hopf Bifurcation of a Two Delay Mathematical Model of Glucose and Insulin during Physical ActivityReport as inadecuate




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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

Cite this paper

J. Ntaganda -Hopf Bifurcation of a Two Delay Mathematical Model of Glucose and Insulin during Physical Activity,- Open Journal of Applied Sciences, Vol. 4 No. 2, 2014, pp. 43-55. doi: 10.4236-ojapps.2014.42006.





Author: Jean Marie Ntaganda

Source: http://www.scirp.org/



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