Competitive exclusion in a stochastic chemostat model with Holling type II functional response

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• 作者：Qiumei Zhang ; Daqing Jiang
• 关键词：Chemostat model ; Holling type II functional response ; Stochastic perturbation ; Competitive exclusion ; Extinction ; 92B05 ; 93E15 ; 60H10 ; 34D20
• 刊名：Journal of Mathematical Chemistry
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：54
• 期：3
• 页码：777-791
• 全文大小：789 KB
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• 作者单位：Qiumei Zhang (1) (2)
  Daqing Jiang (1) (3)
  
  1. College of Science, China University of Petroleum (East China), Qingdao, 266580, China
  2. School of Science, Changchun University, Changchun, 130022, China
  3. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
  
• 刊物类别：Chemistry and Materials Science
• 刊物主题：Chemistry
  Physical Chemistry
  Theoretical and Computational Chemistry
  Mathematical Applications in Chemistry
  
• 出版者：Springer Netherlands
• ISSN：1572-8897

文摘

The present paper deals with the problem of a chemostat model with Holling type II functional response by stochastic perturbation. The main objective of the work is to find out sufficient conditions which guarantee that the principle of competitive exclusion holds for this perturbed model. Numerical simulations for a hypothetical set of parameter values are presented to illustrate the analytical findings. Keywords Chemostat model Holling type II functional response Stochastic perturbation Competitive exclusion Extinction