Characterization of positive solution to stochastic competitor-competitor-cooperative model

Characterization of positive solution to stochastic competitor-competitor-cooperative model

In this article we study a randomized three-dimensional Lotka-Volterra model with competitor-competitor-mutualist interaction. We show the existence, uniqueness, moment boundedness, stochastic boundedness and global asymptotic stability of positive global solutions for this stochastic model. Ana...

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Bibliographic Details
Main Author: Partha Sarathi Mandal
Format: Article
Language:English
Published: Texas State University 2013-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Global solution
Ito's formula
moment
Lyapunov function
Brownian motion
global asymptotic stability
Online Access:http://ejde.math.txstate.edu/Volumes/2013/88/abstr.html
Description
Summary:In this article we study a randomized three-dimensional Lotka-Volterra model with competitor-competitor-mutualist interaction. We show the existence, uniqueness, moment boundedness, stochastic boundedness and global asymptotic stability of positive global solutions for this stochastic model. Analytical results are validated by numerical examples.
ISSN:1072-6691

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