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时变时滞在一类随机竞争系统的稳定性的影响研究

赵金星 邵远夫

应用数学2021,Vol.34Issue(3):674-686,13.
应用数学2021,Vol.34Issue(3):674-686,13.

时变时滞在一类随机竞争系统的稳定性的影响研究

Effects of Time-varying Delays on the Stability of a Class of Sto chastic Comp etitive System

赵金星 1邵远夫2

作者信息

  • 1. 内蒙古大学数学科学学院,内蒙古 呼和浩特 010021
  • 2. 桂林理工大学理学院,广西 桂林541004
  • 折叠

摘要

Abstract

A class of stochastic competitive system with time-varying delays is proposed in this paper. By use of the theory of neutral differential equation and constructing suitable functional, we are concerned with the globally asymptotical stability and stability in probability of the equilibrium state. Finally, some numerical simulations are given to validate our main results.

关键词

时变时滞/平衡状态/渐近稳定性/概率稳定性

Key words

Time-varying delay/Equilibrium state/Asymptotical stability/Stability inprobability

分类

数理科学

引用本文复制引用

赵金星,邵远夫..时变时滞在一类随机竞争系统的稳定性的影响研究[J].应用数学,2021,34(3):674-686,13.

基金项目

Supported by the National Natural Science Foundation of China(11861027)and the Inner Mongolia Natural Science Foundation(2018MS01017) (11861027)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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