Partha Sarathi Mandal
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 5, 2013.
Math Subject Classifications: 93E15, 37B25, 60G17.
Key Words: Global solution; Ito's formula; moment; Lyapunov function;
Brownian motion; global asymptotic stability.
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Partha Sarathi Mandal Department of Mathematics and Statistics Indian Institute of Technology Kanpur Kanpur - 208016, India Tel. +918953177863, Fax. +91-512-259-7500 email: mandalm@iitk.ac.in |
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