[1]刘　佳.带扩散的基于比率的捕食模型的分析[J].常州大学学报(自然科学版),2007,(02):54-57.
　LIU Jia.Analysis of a Ratio -Dependent Predator -Prey Model with Diffusion[J].Journal of Changzhou University(Natural Science Edition),2007,(02):54-57.
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带扩散的基于比率的捕食模型的分析()
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常州大学学报(自然科学版)[ISSN:2095-0411/CN:32-1822/N]

卷:
期数:
2007年02期
页码:
54-57
栏目:
出版日期:
2007-06-25

文章信息/Info

Title:
Analysis of a Ratio -Dependent Predator -Prey Model with Diffusion
作者:
刘　佳
江苏工业学院信息科学系, 江苏 常州 213164
Author(s):
LIU Jia
Department of Info rmation Science , Jiangsu Poly technic University , Changzhou 213164 , China
关键词:
全局稳定; 捕食模型; 持久性; 基于比率
Keywords:
global stability ; predato r -prey model ; persistence ; ratio -dependent
分类号:
O 175.26
文献标志码:
A
摘要:
建立了带扩散的基于比率的捕食模型, 讨论了模型的一致持久性, 应用特征子空间分解与线性化的方法得到了模型正平 衡点局部稳定性的充分条件, 进一步通过构造适当的Lyapunov 泛函的方法得到了正平衡点全局稳定性的充分条件。
Abstract:
In this paper , a ratio -dependent predator -prey system with diffusion subject to the homogeneous Neumann boundary condition is studied .Uniform persistence under some appropriate conditions of the system is showed .The sufficient condition of local asymptotic stability of the positive equilibria of the system is obtained by using the characteristic decomposition and linearizatio n method .Moreover , the global asymptotic stabili ty of the positive equilibria is established by constructing a suitable Lyapunov function .

参考文献/References:

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[7] Leslie P H , Gow er J C .The properties of a st ochasti c model for the predator -prey type of interact ion between tw o species [J] . Bi ometrika, 1960 , 47 :319 -334 .
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相似文献/References:

[1]刘　佳,潘红燕.带有扩散和Bedding ton -DeAngelis 响应函数的 捕食模型的定性分析[J].常州大学学报(自然科学版),2010,(01):65.
　LIU Jia,PAN Ho ng -y an.Qualitative Analysis of a Diffusive Predator -Prey Model with Beddington -DeAngelis Functional Response[J].Journal of Changzhou University(Natural Science Edition),2010,(02):65.
[2]刘 佳.一类捕食模型的定性分析[J].常州大学学报(自然科学版),2012,(02):76.
　LIU Jia.Qualitative Analysis of a Predator-Prey Model[J].Journal of Changzhou University(Natural Science Edition),2012,(02):76.

备注/Memo

备注/Memo:
基金项目:江苏省教育厅自然基金项目资助(05KJB110154) 作者简介:刘佳(1981 -), 女, 江苏 常州 人, 硕士, 研究方向:偏微分方程。
更新日期/Last Update: 2007-06-25