An impulsive periodic predator-prey Lotka–Volterra type dispersal system with mixed functional responses

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• 作者：Lili Feng (1)
  Zijian Liu (2) (3)
  
• 关键词：Predator ; prey ; Impulses ; Diffusion ; Permanence ; Global stability ; 34D20 ; 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：235-257
• 全文大小：
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• 作者单位：Lili Feng (1)
  Zijian Liu (2) (3)
  
  1. School of Mathematics and Computer Science, Panzhihua University, Panzhihua, Sichuan, 617000, P.R. China
  2. School of Science, Chongqing Jiaotong University, Chongqing, 400074, P.R. China
  3. Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang, 310036, P.R. China
  
• ISSN：1865-2085

文摘

An impulsive two species periodic predator-prey Lotka–Volterra type dispersal system with mixed functional responses is presented and studied in this paper. Conditions for the permanence and extinction of the predator-prey system, and for the existence of a unique globally stable periodic solution are established. Numerical examples are shown to verify the validity of our results.