Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (11): 1277-1290.

• 论文 • 上一篇    下一篇

STABILITY AND BIFURCATION OF A HUMAN RESPIRATORY SYSTEM MODEL WITH TIME DELAY

沈启宏1,2, 魏俊杰2   

  1. 1. Department of Mathematics, University of Miami, P.O.Box 249085, Coral Gables, FL 331244-4250, USA;
    2. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China
  • 收稿日期:2003-03-06 修回日期:2004-07-15 出版日期:2004-11-18 发布日期:2004-11-18
  • 基金资助:

    the National Natural Science Foundation of China(19831030)

STABILITY AND BIFURCATION OF A HUMAN RESPIRATORY SYSTEM MODEL WITH TIME DELAY

SHEN Qi-hong1,2, WEI Jun-jie2   

  1. 1. Department of Mathematics, University of Miami, P.O.Box 249085, Coral Gables, FL 331244-4250, USA;
    2. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China
  • Received:2003-03-06 Revised:2004-07-15 Online:2004-11-18 Published:2004-11-18

摘要: The stability and bifurcation of the trivial solution in the two-dimensional differential equation of a model describing human respiratory system with time delay were investigated. Formulas about the stability of bifurcating periodic solution and the direction of Hopf bifurcation were exhibited by applying the normal form theory and the center manifold theorem.Furthermore,numerical simulation was carried out.

Abstract: The stability and bifurcation of the trivial solution in the two-dimensional differential equation of a model describing human respiratory system with time delay were investigated. Formulas about the stability of bifurcating periodic solution and the direction of Hopf bifurcation were exhibited by applying the normal form theory and the center manifold theorem.Furthermore,numerical simulation was carried out.

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