Discrete Dynamics in Nature and Society 
Volume 2007 (2007), Article ID 51406, 16 pages
doi:10.1155/2007/51406
Research Article

Dynamics of a Discretization Physiological Control System

Xiaohua Ding and Huan Su

 Department of Mathematics, Harbin Institute of Technology, Weihai 264209, China
Received 31 May 2006; Revised 19 November 2006; Accepted 20 November 2006

Abstract

We study the dynamics of solutions of discrete physiological control system obtained by Midpoint rule. It is shown that a sequence of Hopf bifurcations occurs at the positive equilibrium as the delay increases and we analyze the stability of the solution of the discrete system and calculate the direction of the Hopf bifurcations. The numerical results are presented.