We provide an asymptotic analysis of a fractional Fisher-KPP type equation in periodic non-connected media with Dirichlet conditions outside the domain. After showing the existence and uniqueness of a non-trivial bounded stationary state \(n_+\), we prove that it invades the unstable state zero exponentially fast in time.

中文翻译：

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在周期性敌对环境中分数阶反应扩散方程的传播

我们提供了在域外Dirichlet条件下的周期非连通介质中分数Fisher-KPP型方程的渐近分析。在证明了一个非平常有界平稳状态\（n _ + \）的存在和唯一性之后，我们证明了它在时间上呈指数级快速地侵入了不稳定状态零。