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Stochastic Traveling Wave Solution to a Stochastic KPP Equation

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Abstract

In this paper, we consider the stochastic KPP equation which is perturbed by an environmental noise. Applying an extended stochastic ordering technique, we establish the existence of a stochastic traveling wave solution to the equation and give a sufficient condition under which solutions can be attracted to the stochastic traveling wave.

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Acknowledgments

The work is supported by the National Natural Science Foundation (no. 11171115).

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Authors and Affiliations

  1. Department of Mathematics, South China University of Technology, Guangzhou, China

    Zhehao Huang, Zhengrong Liu & Zhenzhen Wang

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  1. Zhehao Huang
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  2. Zhengrong Liu
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  3. Zhenzhen Wang
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Correspondence to Zhehao Huang.

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Huang, Z., Liu, Z. & Wang, Z. Stochastic Traveling Wave Solution to a Stochastic KPP Equation. J Dyn Diff Equat 28, 389–417 (2016). https://doi.org/10.1007/s10884-015-9485-3

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  • DOI: https://doi.org/10.1007/s10884-015-9485-3

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