Dynamics of n+1-dimensional impulsive reaction-diffusion predator-prey system with Holling type III functional response

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• 作者：Zijian Liu (1) (2)
  Chenxue Yang (1) (3)
  
• 关键词：Reaction ; diffusion ; Holling type III functional response ; Predator ; prey system ; Permanence ; Stability ; 92B05
• 刊名：Journal of Applied Mathematics and Computing
• 出版年：2014
• 出版时间：June 2014
• 年：2014
• 卷：45
• 期：1-2
• 页码：275-296
• 全文大小：
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• 作者单位：Zijian Liu (1) (2)
  Chenxue Yang (1) (3)
  
  1. School of Science, Chongqing Jiaotong University, Chongqing, 400074, P.R. China
  2. Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang, 310036, P.R. China
  3. School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu, 610054, P.R. China
  
• ISSN：1865-2085

文摘

An n+1-dimensional impulsive reaction-diffusion periodic predator-prey system with Holling type III functional response is investigated in the present paper. Sufficient conditions on the ultimate boundedness and permanence of the predator-prey system are established based on the comparison theory of differential equation and upper and lower solution method. By constructing appropriate auxiliary function, the conditions for the existence of a unique globally stable positive periodic solution are also obtained. Some numerical examples are presented to verify our results. A?discussion is given in the end of the paper.