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

Keywords: Global solution , Ito's formula , moment , Lyapunov function , Brownian motion , global asymptotic stability

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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.

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