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Stability and bifurcation of a human respiratory system model with time delay

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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 theorm. Furthermore, numerical simulation was carried out.

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Authors and Affiliations

  1. Department of Mathematics, University of Miami, P. O. Box 249085, 331244-4250, Coral Gables, FL, USA

    Shen Qi-hong Doctor

  2. Department of Mathematics, Harbin Institute of Technology, 150001, Harbin, P.R. China

    Shen Qi-hong Doctor & Wei Jun-jie

Authors
  1. Shen Qi-hong Doctor
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  2. Wei Jun-jie
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Additional information

Communicated by Lin Zong-chi, Original Member of Editorial Committee, AMM

Foundation item: the National Natural Science Foundation of China (19831030)

Biography: Shen Qi-hong (1976})

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Qi-hong, S., Jun-jie, W. Stability and bifurcation of a human respiratory system model with time delay. Appl Math Mech 25, 1277–1290 (2004). https://doi.org/10.1007/BF02438284

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  • DOI: https://doi.org/10.1007/BF02438284

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2000 Mathematics Subject Classification

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