Stability and Bifurcation of a Human Respiratory System Model With Time Delay

SHEN Qi-hong; WEI Jun-jie

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(11): 1169-1181

SHEN Qi-hong, WEI Jun-jie. Stability and Bifurcation of a Human Respiratory System Model With Time Delay[J]. Applied Mathematics and Mechanics, 2004, 25(11): 1169-1181.

Citation:

SHEN Qi-hong, WEI Jun-jie. Stability and Bifurcation of a Human Respiratory System Model With Time Delay[J]. Applied Mathematics and Mechanics, 2004, 25(11): 1169-1181.

Citation:

SHEN Qi-hong, WEI Jun-jie. Stability and Bifurcation of a Human Respiratory System Model With Time Delay[J]. Applied Mathematics and Mechanics, 2004, 25(11): 1169-1181.

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Stability and Bifurcation of a Human Respiratory System Model With Time Delay

SHEN Qi-hong^1,2,
WEI Jun-jie²

1.
Department of Mathematics, University of Miami, P. O. Box 249085, Coral Gables, FL 331244-4250, U S A;

Received Date: 2003-03-06
Rev Recd Date: 2004-07-15
Publish Date: 2004-11-15

Abstract

Abstract

The stability and bifurcation of the trivial solution in the two-dimensional differental 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.
- respiratory system,
- time delay,
- stability,
- bifurcation

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References(9)

References

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