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

DOI: 10.4236/ojapps.2014.42006   PDF   HTML     5,505 Downloads   7,628 Views   Citations


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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.


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