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Coexistence and exclusion of stochastic competitive Lotka–Volterra models.

Authors :
Nguyen, Dang H.
Yin, George
Source :
Journal of Differential Equations. Feb2017, Vol. 262 Issue 3, p1192-1225. 34p.
Publication Year :
2017

Abstract

This work derives sufficient conditions for the coexistence and exclusion of a stochastic competitive Lotka–Volterra model. The conditions obtained are close to necessary. In addition, convergence in distribution of positive solutions of the model is also established. A number of numerical examples are given to illustrate our results. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*LOTKA-Volterra equations
*STOCHASTIC analysis
*STOCHASTIC convergence
*MATHEMATICAL models
*SIGNED numbers

Details

Language :
English
ISSN :
00220396
Volume :
262
Issue :
3
Database :
Academic Search Index
Journal :
Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
120225417
Full Text :
https://doi.org/10.1016/j.jde.2016.10.005
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