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<p>In this paper, we consider a stochastic Fisher-KPP equation with shifting environment perturbed by white noise. Firstly, we study the existence and uniqueness of non-negative and strong solution of this stochastic partial differential equation. Next, under strong noise, moderate noise and weak noise, we explore the influences of noise and shifting environment on propagation property of the solution, and find that shifting environment has big impacts on extinction and persistence of species, and noise restrains the propagation of the solution. Finally, we give a brief discussion about our results.</p>

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Spreading dynamics for stochastic Fisher-KPP equation with shifting environment

  • 期刊论文

  • 发表日期：

    2026年7月17日

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  • Peng Li,
  • Xiaofeng Zhang,
  • Rong Yuan

摘要

In this paper, we consider a stochastic Fisher-KPP equation with shifting environment perturbed by white noise. Firstly, we study the existence and uniqueness of non-negative and strong solution of this stochastic partial differential equation. Next, under strong noise, moderate noise and weak noise, we explore the influences of noise and shifting environment on propagation property of the solution, and find that shifting environment has big impacts on extinction and persistence of species, and noise restrains the propagation of the solution. Finally, we give a brief discussion about our results.