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Stability and oscillations of time-delayed model for the testosterone regulation
Author(s)
Date Issued
November 4, 2013
Type
Article
Abstract
In this paper, we develop the mathematical model with a time delay to describe the feedback mechanisms concerning of cyclicity of the male hormonal balance on the influence of variations in the sex hormone-binding globulin (SHBG) concentration. We show that a Hopf bifurcation occurs when a time delay τ passes through a critical value. Numerical simulations are performed to illustrate the analytical results. Moreover, this model can explain the pulsatile secretion of hormones in male.
Citation
International Journal of Mathematics and Computers in Simulation, 7(4), 355-362, 2013