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Local Hopf bifurcation and global existence of periodic solutions in a kind of physiological system

  • Published:2007-12 Issue:5 Volume:8 Page:1459-1471
  • ISSN:1468-1218
  • Container-title:Nonlinear Analysis: Real World Applications
  • language:en
  • Short-container-title:Nonlinear Analysis: Real World Applications

Author:

Ding Xiaohua,Li Wenxue

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,General Economics, Econometrics and Finance,General Engineering,General Medicine,Analysis

Reference16 articles.

1. Foundations of Modern Analysis;Dieudonné,1960

2. Physiological conditions resulting from instabilities in physiological control system;Glass;Ann. New York Acad. Sci.,1979

3. Oscillations and global attractivity in respiratory dynamics;Gopalsamy;Dyn. Stability System,1989

4. Oscillation Theory of Delay Differential Equations with Applications;Gyori,1991

5. Theory of Functional Differential Equations;Hale,1977

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1. Instability phenomenon associated with two typical high speed railway vehicles;International Journal of Non-Linear Mechanics;2018-10

2. Global Hopf Bifurcation for a Predator–Prey System with Three Delays;International Journal of Bifurcation and Chaos;2017-06-30

3. IDFC: A new approach to control bifurcation in TCP/RED;Journal of Network and Computer Applications;2011-11

4. Hopf bifurcation analysis of a food-limited population model with delay;Nonlinear Analysis: Real World Applications;2010-04

5. Critical values of stability and Hopf bifurcations for a delayed population model with delay-dependent parameters;Nonlinear Analysis: Real World Applications;2010-02
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