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文章基本信息

  • 标题:The Modeling and Control of a Singular Biological Economic System with Time Delay in a Polluted Environment
  • 作者:Yi Zhang ; Huiying Zhao ; Qingling Zhang
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2016
  • 卷号:2016
  • DOI:10.1155/2016/5036305
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper brings up the idea of a biological economic system with time delay in a polluted environment. Firstly, by proper linear transformation and parametric method, the singular time-delay systems are transformed to differential time-delay systems. Then, using center manifold theory and Poincare normal form method, the direction of Hopf bifurcation and the stability and period of its periodic orbits are analysed. At last, we have performed numerical simulation to support the analytical results.
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