Discrete Dynamics in Nature and Society
Volume 2007 (2007), Article ID 51406, 16 pages
doi:10.1155/2007/51406
Dynamics of a discretization physiological control system
Xiaohua Ding
and Huan Su
Department of Mathematics, Harbin Institute of Technology, Weihai 264209, China
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.