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Traveling Wave of Three-Species Stochastic Lotka-Volterra Competitive System
  
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KeyWord:Stochastic competitive system, white noise, traveling wave solution, asymptotic wave speed
Author NameAffiliation
Hao Wen College of Science, National University of Defense Technology, Changsha, Hunan 410073, China 
Jianhua Huang College of Science, National University of Defense Technology, Changsha, Hunan 410073, China 
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Abstract:
      This paper is devoted to a three-species stochastic competitive system with multiplicative noise. The existence of stochastic traveling wave solution can be obtained by constructing sup/sub-solution and using random dynamical system theory. Furthermore, under a more restrict assumption on the coefficients and by applying Feynman-Kac formula, the upper/lower bounds of asymptotic wave speed can be achieved.