Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 88, pp. 1-13.

Title: Characterization of positive solution to stochastic
       competitor-competitor-cooperative model
        
Author: Partha Sarathi Mandal (Indian Institute of Technology, Kanpur, India)

Abstract:
 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.

Submitted November 19, 2012. Published April 05, 2013.
Math Subject Classifications: 93E15, 37B25, 60G17.
Key Words: Global solution; Ito's formula; moment; Lyapunov function;
            Brownian motion; global asymptotic stability.