随机非自治Schoener竞争系统的周期解

doi:10.13371/j.cnki.chin.q.j.m.2018.04.004

数学季刊 ›› 2018, Vol. 33 ›› Issue (4): 369-376.doi: 10.13371/j.cnki.chin.q.j.m.2018.04.004

随机非自治Schoener竞争系统的周期解

College of Science, Hunan Agricultural University

接受日期:2018-07-01 出版日期:2018-12-30 发布日期:2020-10-07
作者简介:CHEN Hong-liang(1995-), male, native of Dazhou, Sichun, a master of mathematics of Hunan Agricultural University, engages in biomathematics; LI Xiao-ping (corresponding author) (1963-), male,native of Lianyuan, Hunan, a professor of Hunan Agricultural University, engages in biomathematics.

Periodic Solution for Stochastic Non-autonomous Schoener Competitive System

College of Science, Hunan Agricultural University

Accepted:2018-07-01 Online:2018-12-30 Published:2020-10-07
About author:CHEN Hong-liang(1995-), male, native of Dazhou, Sichun, a master of mathematics of Hunan Agricultural University, engages in biomathematics; LI Xiao-ping (corresponding author) (1963-), male,native of Lianyuan, Hunan, a professor of Hunan Agricultural University, engages in biomathematics.

摘要/Abstract

摘要： In this paper, we consider a stochastic non-autonomous Schoener competitive system. Firstly, we prove the existence of positive periodic solution when the coefficients of Schoener competitive system satisfied certain conditions. Then the global attractiveness of positive periodic solution is also proved by constructing appropriate Lyapunov function. In addition, we show that the stronger noises will lead to the extinction of competitive systems.

关键词: Schoener competitive system, positive periodic solution, global attractiveness, extinction

Abstract: In this paper, we consider a stochastic non-autonomous Schoener competitive system. Firstly, we prove the existence of positive periodic solution when the coefficients of Schoener competitive system satisfied certain conditions. Then the global attractiveness of positive periodic solution is also proved by constructing appropriate Lyapunov function. In addition, we show that the stronger noises will lead to the extinction of competitive systems.

Key words: Schoener competitive system, positive periodic solution, global attractiveness, extinction

中图分类号:

O175

陈红亮, 李小平. 随机非自治Schoener竞争系统的周期解[J]. 数学季刊, 2018, 33(4): 369-376.

CHEN Hong-liang, LI Xiao-ping. Periodic Solution for Stochastic Non-autonomous Schoener Competitive System[J]. Chinese Quarterly Journal of Mathematics, 2018, 33(4): 369-376.

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随机非自治Schoener竞争系统的周期解

Periodic Solution for Stochastic Non-autonomous Schoener Competitive System

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