Dynamical analysis in a stochastic bioeconomic model with stage-structuring

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• 作者：Yue Zhang ; Yan Zheng ; Feng Zhao ; Xi Liu
• 关键词：Bioeconomic model ; Stochastic averaging method ; Maximal Lyapunov exponent ; Invariant measure ; Bifurcation
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：84
• 期：2
• 页码：1113-1121
• 全文大小：1,637 KB
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• 作者单位：Yue Zhang (1)
  Yan Zheng (1)
  Feng Zhao (1)
  Xi Liu (2)
  
  1. Institute of Systems Science, Northeastern University, Shenyang, 110819, Liaoning, China
  2. Plastic and Reconstructive Surgery, University Health Network, Toronto, ON, Canada
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

This article studies a class of stage-structured bioeconomic models with stochastic fluctuations. The stochastic bioeconomic model is simplified to Itô equation by stochastic averaging method. The stochastic stability, Hopf bifurcation, D-bifurcation and P-bifurcation are discussed based on the system’s maximal Lyapunov exponent and dynamic systems invariant measure Lyapunov exponent. Numerical simulations are presented to illustrate our main results.