Asymptotic Behavior of Positive Solutions of a Competitive System Subject to Environmental Noise

الملخص EN

A competitive system subject to environmental noise is established.

By using the theory of stochastic differential equationsand Lyapunov function, sufficient conditions for the existence, uniqueness, stochastic boundedness, and global attraction of the positive solution of the above systemare established, respectively.

An example together with its corresponding numerical simulations is presented to confirm our analytical results.