| 一类随机非线性时滞种群系统的指数稳定性 |
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| 引用本文： | 王战平.一类随机非线性时滞种群系统的指数稳定性[J].宁夏师范学院学报,2008,29(3):74-79. |
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| 作者姓名： | 王战平 |
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| 作者单位： | 宁夏大学,数学计算机学院,宁夏,银川,750021 |
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| 基金项目： | 宁夏大学校科研和教改项目 |
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| 摘 要： | 本文研究了一类随机非线性时滞种群发展系统,对随机非线性时滞种群发展系统的均方稳定和指数稳定进行了讨论.利用Burkholder-Davis-Gundy不等式,Gronwall引理和Kolmogorov不等式得到了均方稳定和指数稳定的充分条件.
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| 关 键 词： | 随机系统 It公式 种群 指数稳定性 |
Exponential Stability of Stochastic Nonlinear Delay Population Dynamics System |
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| WANG Zhanping.Exponential Stability of Stochastic Nonlinear Delay Population Dynamics System[J].Journal of Ningxia Teachers College,2008,29(3):74-79. |
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| Authors: | WANG Zhanping |
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| Abstract: | In this paper,we studied a class of stochastic nonlinear delay population dynamics system. The mean square and almost sure exponential stabilty of stochastic nonlinear delay population dynamics system are discussed.Sufficient conditions of mean square and almost sure exponential stabilty are established for a class of stochastic nonlinear delay population dynamics system.The analyses are conducted by using Burkholder-Davis-Gundy inequality,Gronwall lemma and Kolmogorov inequality derived for our stability purposes. |
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