Existence, Uniqueness and Ergodicity of Positive Solution of Mutualism System with Stochastic Perturbation

Chunyan Ji; Daqing Jiang; Hong Liu; Qingshan Yang

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Existence, Uniqueness and Ergodicity of Positive Solution of Mutualism System with Stochastic Perturbation

机译：具有随机扰动的互惠系统正解的存在性，唯一性和遍历性

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We discuss a two-species Lotka-Volterra mutualism system with stochastic perturbation. We show that there is a unique nonnegative solution of this system. Furthermore, we investigate that there exists a stationary distribution for this system, and it has ergodic property.

机译：我们讨论具有随机扰动的两种种群的Lotka-Volterra互惠系统。我们证明了该系统有一个独特的非负解。此外，我们调查该系统存在平稳分布，并且具有遍历特性。

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《Mathematical Problems in Engineering》 |2010年第2期|p.16.1-16.18|共18页
作者
Chunyan Ji; Daqing Jiang; Hong Liu; Qingshan Yang;
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School of Mathematics and Statistics, Changshu Institute of Technology, Changshu, Jiangsu 215500, China,School of Mathematics and Statistics, Northeast Normal University, Changchun, filin 130024, China;

School of Mathematics and Statistics, Northeast Normal University, Changchun, filin 130024, China;

School of Mathematics and Statistics, Northeast Normal University, Changchun, filin 130024, China,China Economics and Management Academy, CIAS, Central University of Finance and Economics,Beijing 100081, China;

School of Mathematics and Statistics, Northeast Normal University, Changchun, filin 130024, China;

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1. Existence, Uniqueness and Ergodicity of Positive Solution of Mutualism System with Stochastic Perturbation [J] . ChunyanJi, DaqingJiang, HongLiu, Mathematical Problems in Engineering: Theory, Methods and Applications . 2010,第5期

机译：具有随机扰动的互惠系统正解的存在性，唯一性和遍历性
2. Existence, uniqueness, stochastic persistence and global stability of positive solutions of the logistic equation with random perturbation [J] . Ji C, Jiang D, Shi N, Mathematical Methods in the Applied Sciences . 2007,第1期

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5. Scattering Theory for First Order Systems with Long-range Perturbations : the Existence of the Modified Wave Operators [D] . 菊地, 光嗣 1988

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Existence, Uniqueness and Ergodicity of Positive Solution of Mutualism System with Stochastic Perturbation

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