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  • 标题:A Delayed Chemostat Model with Impulsive Diffusion and Input on Nutrients
  • 本地全文:下载
  • 作者:Jianjun Jiao ; Shaohong Cai
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2010
  • 卷号:2009
  • 期号:1
  • 页码:514240
  • DOI:10.1155/2009/514240
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A chemostat model with delayed response in growth and impulsive diffusion and input on nutrients is considered. Using the discrete dynamical system determined by the stroboscopic map, we obtain a microorganism-extinction periodic solution. Further, it is globally attractive. The permanent condition of the investigated system is also obtained by the theory on impulsive delay differential equation. Finally, numerical analysis is inserted to illustrate dynamical behaviors of the chemostat system. Our results reveal that the impulsive input amount of nutrients plays an important role on the outcome of the chemostat. Our results provide strategy basis for biochemical reaction management.
  • 关键词:Periodic Solution ; Travel Wave Solution ; Impulsive Differential Equation ; Positive Periodic Solution ; Turing Instability
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