Positive recurrent of stochastic coral reefs model

被引：2
作者：
Huang, Zaitang [1 ,2 ,3 ]
机构：
[1] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Sichuan, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
[3] Guangxi Teachers Educ Univ, Sch Math & Stat, Nanning 530023, Guangxi, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2017年 / 486卷
基金：
中国国家自然科学基金;
关键词：
Coral reefs; Permanence; Stationary distribution; Markov semigroups; Geometric control theory; STABILITY; DYNAMICS;
D O I：
10.1016/j.physa.2017.05.073
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this work, we discuss permanence and ergodicity of a stochastic coral reefs model. One of the distinctive features of our results is that our results enables characterization of the support of a unique invariant probability measure by Lie groups and geometric control theory. It is proved that the densities either converges to an invariant density or converges weakly to a singular measure. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：751 / 761
页数：11
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