随机非自治Schoener竞争系统的周期解

陈红亮, 李小平

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

数学季刊 >

2018 , Vol. 33 >Issue 4: 369 - 376

DOI: https://doi.org/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

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College of Science, Hunan Agricultural University

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.

录用日期: 2018-07-01

网络出版日期: 2020-10-07

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Periodic Solution for Stochastic Non-autonomous Schoener Competitive System

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College of Science, Hunan Agricultural University

Accepted date: 2018-07-01

Online published: 2020-10-07

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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

本文引用格式

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

Abstract

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

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