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

数学季刊 ›› 2011, Vol. 26 ›› Issue (1): 16-20.

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

1. Department of Mathematics, South China University of Technology2. Guangzhou No.6 Secondary School

收稿日期:2007-05-31 出版日期:2011-03-30 发布日期:2023-05-09
作者简介:CHEN Zhi-hui(1977- ), male, native of Nanchang, Jiangxi, an associate professor of South China University of Technology, Ph.D., engages in elliptic PDEs.
基金资助:

Supported by the Fundamental Research Funds for the Central Universities SCUT(2009ZM0014)；

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

1. Department of Mathematics, South China University of Technology2. Guangzhou No.6 Secondary School

Received:2007-05-31 Online:2011-03-30 Published:2023-05-09
About author:CHEN Zhi-hui(1977- ), male, native of Nanchang, Jiangxi, an associate professor of South China University of Technology, Ph.D., engages in elliptic PDEs.
Supported by:
Supported by the Fundamental Research Funds for the Central Universities SCUT(2009ZM0014)；

摘要/Abstract

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.

关键词: prey-predator system, cross-diffusion, self-diffusion

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.

Key words: prey-predator system, cross-diffusion, self-diffusion

中图分类号:

O175

陈志辉, 陈霞. 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[J]. 数学季刊, 2011, 26(1): 16-20.

CHEN Zhi-hui, CHEN Xia. Global Existence of Solutions to the Prey-predator System of Three Species with Cross-diﬀusion [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(1): 16-20.

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