Periodic solutions of a three-species periodic reaction-diffusion system

被引：0

作者：

Qiao, Tiantian ^{[1
,2
]}

Sun, Jiebao ^{[1
]}

Wu, Boying ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

[2] China Univ Petr, Sch Math & Computat Sci, Dongying 257061, Peoples R China

来源：

ANNALES POLONICI MATHEMATICI | 2011年 / 100卷 / 02期

关键词：

periodic solution; asymptotic behavior; diffusion system; ASYMPTOTIC-BEHAVIOR; PLANKTON ALLELOPATHY; COMPETITION; STABILITY; ATTRACTIVITY; DELAYS; MODEL;

D O I：

10.4064/ap100-2-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a periodic reaction-diffusion system of a competitive model with Dirichlet boundary conditions. By the method of upper and lower solutions and an argument similar to that of Ahmad and Lazer, we establish the existence of periodic solutions and also investigate the stability and global attractivity of positive periodic solutions under certain conditions.

引用

页码：179 / 191

页数：13

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