Dynamics of a Discretization Physiological Control System

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2007 English Publisher:WileyJournal:Discrete Dynamics in Nature and Society, volume 2,007, pages 1-16 (issn: 1026-0226, eissn: 1607-887X,

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Authors: Xiaohua Ding; Huan Su;

doi: 10.1155/2007/51406

Dynamics of a Discretization Physiological Control System

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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.

Related Organizations

Harbin Institute of Technology
China (People's Republic of)

Keywords

Physiology (general), QA1-939, Mathematics, Dynamical systems in biology, Additive difference equations

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