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一类具有交叉扩散效应的三种群诱饵-捕食系统整体解的存在性(英文)

Global Existence of Solutions to the Prey-predator System of Three Species with Cross-diffusion

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【作者】 陈志辉陈霞

【Author】 CHEN Zhi-hui~1,CHEN Xia~2(1.Department of Mathematics,South China University of Technology,Guangzhou 510640,China;2.Guangzhou No.6 Secondary School,Guangzhou 510300,China)

【机构】 Department of Mathematics,South China University of TechnologyGuangzhou No.6 Secondary School

【摘要】 The prey-predator system of three species with cross-diffusion pressure is known to possess a local solution with the maximal existence time T ≤∞.By obtaining the bounds of W21-norms of the local solution independent of T,it is established the global existence of the solution.

【Abstract】 The prey-predator system of three species with cross-diffusion pressure is known to possess a local solution with the maximal existence time T ≤ ∞.By obtaining the bounds of W21-norms of the local solution independent of T,it is established the global existence of the solution.

【基金】 Supported by the Fundamental Research Funds for the Central Universities SCUT(2009ZM0014)
  • 【文献出处】 数学季刊 ,Chinese Quarterly Journal of Mathematics , 编辑部邮箱 ,2011年01期
  • 【分类号】O175
  • 【被引频次】2
  • 【下载频次】67
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