Authors: Bennett D.L.; Gourley S.A.

Source: Dynamical Systems: An International Journal, Volume 19, Number 2, June 2004 , pp. 109-125(17)

Publisher: Taylor and Francis Ltd

Abstract:

Using degree theoretic methods, the existence of periodic solutions is established for a two-dimensional delay model representing the glucose-insulin interaction in a person with reduced insulin secretion and receiving oscillatory infusions of both insulin and glucose. For the case when the parameters are time-independent, the possibility of a periodic solution is investigated by a Hopf bifurcation analysis. The results of some numerical simulations are also presented and discussed.

Document Type: Research article

DOI: http://dx.doi.org/10.1080/1468936042000203552

Affiliations: 1: Department of Mathematics and Statistics University of Surrey Guildford Surrey GU2 7XH UK, Email: s.goey@surrey.ac.uk

Publication date: 2004-06-01

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