| 带马尔可夫调制随机竞争种群系统数值解的指数稳定性 |
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| 引用本文： | 杜庆辉,张启敏.带马尔可夫调制随机竞争种群系统数值解的指数稳定性[J].华中师范大学学报(自然科学版),2012,46(2):140-144. |
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| 作者姓名： | 杜庆辉 张启敏 |
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| 作者单位： | 1. 北方民族大学信息与计算科学学院,银川,750021
2. 北方民族大学信息与计算科学学院,银川750021;宁夏大学数学与计算机学院,银川750021 |
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| 摘 要： | 讨论了一类带马尔可夫调制的随机竞争种群系统,通过Barkholder-Davis-Gundy不等式,Ito公式,Gronwall引理,一些特殊不等式和几个引理得到了带马尔可夫调制的随机竞争种群系统数值解的指数稳定性.
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| 关 键 词： | 指数稳定性 随机竞争种群系统 数值解 马尔可夫调制 |
Exponential stability of numerical solutions to stochastic competitive population equations with Markovian switching |
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| DU Qinghui
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ZHANG Qimin.Exponential stability of numerical solutions to stochastic competitive population equations with Markovian switching[J].Journal of Central China Normal University(Natural Sciences),2012,46(2):140-144. |
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| Authors: | DU Qinghui ZHANG Qimin |
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| Institution: | 1,2(1.Faculty of Informatics and Computer Science,North University of Nation,Yinchuan 750021; 2.School of Mathematics and Computer Science,Ningxia University,Yinchuan 750021) |
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| Abstract: | This paper discusses a class of stochastic competitive population system with Markovian switching.Some tools such as special inequalities,Barkholder-Davis-Gundy’s lemma,Ito’s formula and some criteria are obtained for the exponential stability of numerical solutions to the stochastic competitive population system with Markovian switching. |
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| Keywords: | exponential stability stochastic competitive system numerical solutions Markovian switching |
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