Spreading Speeds of Nonlocal KPP Equations in Heterogeneous Media
Spreading Speeds of Nonlocal KPP Equations in Heterogeneous Media
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DOI：
10.1007/s10114-022-0452-8
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发表时间：
2022-01
期刊：
影响因子：
--
通讯作者：
Xing Liang;Tao Zhou
中科院分区：
文献类型：
--
作者：
Xing Liang;Tao Zhou
研究了非均匀介质中非局部Fisher-KPP型反应扩散方程解的渐近性态。假设内核K依赖于介质。首先，我们给出了广义主特征值的上、下传播速度的估计。其次，我们证明了存在的情况下，介质是周期性的或几乎周期性的广义主特征值的上下相等。
This paper is devoted to studying the asymptotic behavior of the solution to nonlocal Fisher-KPP type reaction diffusion equations in heterogeneous media. The kernelKis assumed to depend on the media. First, we give an estimate of the upper and lower spreading speeds by generalized principal eigenvalues. Second, we prove the existence of spreading speeds in the case where the media is periodic or almost periodic by showing that the upper and lower generalized principal eigenvalues are equal.