Abstract
<p style='text-indent:20px;'>This work is devoted to the travelling wave solutions and asymptotic wave speed for a two-species stochastic competitive system driven by a multiplicative Itô type white noise. By the introduction of sup-solutions and sub-solutions, the existence and the approximations of the travelling wave solutions are proven under some conditions on the parameters. Moreover, combining with the stochastic Feynman-Kac formula, sub-solution, sup-solution, monotone iteration and equilibria of the kinetic system corresponding to the transformed stochastic cooperative system are utilized to estimate the asymptotic wave speed, which is closely related to the white noise.</p>
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