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 Stochastic Competitive System

作　　者：赵金星[1] 邵远夫[2] ZHAO Jinxing;SHAO Yuanfu(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China;College of Science,Guilin Uniersity of Technologg,Guilin 541004,China)

机构地区：[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

出　　处：《应用数学》2021年第3期674-686,共13页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11861027);the Inner Mongolia Natural Science Foundation (2018MS01017)。

摘　　要：本文提出一类具有时变时滞的随机竞争系统.利用中立型微分方程理论并构造泛函,研究平衡态的全局渐近稳定性和概率意义下的稳定性.最后,通过数值模拟验证了我们的主要结论.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 

分 类 号：O175.2[理学—数学]