| 一类Hassell-Varley型随机恒化器系统的定性分析 |
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| 引用本文： | 董庆来[],、保晓平[],、党晓一[].一类Hassell-Varley型随机恒化器系统的定性分析[J].西南师范大学学报(自然科学版),2015,40(1). |
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| 作者姓名： | 董庆来[] 、保晓平[] 、党晓一[] |
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| 作者单位： | 1. 延安大学数学与计算机科学学院,陕西延安,716000
2. 南社乡初级中学,陕西渭南,711700 |
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| 基金项目： | 国家自然科学基金项目(11071013)；陕西省教育厅科研计划项目(2013JK0577)；延安大学自然科学专项基金(YD2012-03)；国家级大学生创新创业训练计划项目(201410719006)． |
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| 摘 要： | 考虑到稀释率受随机噪声的影响,研究了一类具有Hassell-Varley型功能反应函数的随机恒化器模型.运用随机微分方程比较原理证明了模型正解的全局存在唯一性.通过构造Lyapunov函数,利用It公式得到了随机有界性和绝灭平衡点的全局随机渐近稳定性的充分条件,研究了随机系统围绕确定性系统正平衡点的振荡行为.
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| 关 键 词： | Hassell-Varley型功能反应函数 恒化器 It?公式 随机有界性 稳定性 |
On Qualitative Analysis of a Stochastic Chemostat Model with Hassell-Varley Functional Response |
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| DONG Qing-lai,BAO Xiao-ping,DANG Xiao-yi.On Qualitative Analysis of a Stochastic Chemostat Model with Hassell-Varley Functional Response[J].Journal of Southwest China Normal University(Natural Science),2015,40(1). |
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| Authors: | DONG Qing-lai[] BAO Xiao-ping[] DANG Xiao-yi[] |
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| Abstract: | A stochastic Chemostat model with Hassell-Varley functional response has been considered ,in which the dilution rate was influenced by white noises .By comparison theorem of stochastic equations and It?formula ,it is shown that there is a unique positive solution to the system .Moreover ,the sufficient conditions for some population dynamical properties including the stochastic ultimate boundedness and the stochastically asymptotic stability of the washout equilibrium have been obtained .Furthermore ,it is also show n how the solution spirals around the positive equilibrium of deterministic system . |
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| Keywords: | Hassell-Varley functional response chemostat It? formula stochastic ultimate boundedness stability |
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