Open AccessExistence, Uniqueness and Ergodicity of Positive Solution of Mutualism System with Stochastic Perturbation
Author(s) -
Chunyan Ji,
Daqing Jiang,
Hong Liu,
Qingshan Yang
Publication year - 2010
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2010/684926
Subject(s) - ergodicity , uniqueness , mutualism (biology) , ergodic theory , stationary distribution , perturbation (astronomy) , mathematics , statistical physics , mathematical analysis , physics , ecology , biology , markov chain , quantum mechanics , statistics
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
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