J4 ›› 2010, Vol. 07 ›› Issue (4): 562-566.

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Existence of Global Solutions for a Class of Biological Population Competition System

KE Yuanyuan1,2, LIU Shiqiu2, LI Yinghua3   

  1. 1. School of Information, Renmin University of China, Beijing 100872, China;2. College of Mathematics, Jilin University, Changchun 130012, China;3. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
  • Received:2009-10-20 Online:2010-07-26 Published:2011-06-14
  • Contact: LI Yinghua E-mail:yhlee@189.cn

Abstract:

The energy estimation method was used to investigate the existence of the global solutions for a class of competition system (strongly coupled preypredator model) in high dimension space. This class of competition system involves (self) diffusion and crossdiffusion, and the crossdiffusion is of the form v/(1+ul).

Key words: existence, global solution, competition system, equations

CLC Number: 

  • O175.8