景观诱导的种群动态空间振荡
Landscape-induced spatial oscillations in population dynamics
摘要：
我们研究了生态景观中的扰动对种群空间分布的影响，该种群根据非局部FKPP方程演化。使用数值和分析技术，我们探讨了三种类型的固定配置文件，可以开发近突然的空间变化的环境条件至关重要的人口增长：持续振荡，衰减振荡和指数松弛到一个平坦的配置文件。我们将皱纹的波长和衰减长度与相互作用核的形状联系起来。由于这些空间结构编码的个人之间的相互作用的细节，我们讨论如何异质性揭示信息，将隐藏在一个平坦的景观。
英文摘要：
We study the effect that disturbances in the ecological landscape exert on the spatial distribution of a population that evolves according to the nonlocal FKPP equation. Using both numerical and analytical techniques, we explore the three types of stationary profiles that can develop near abrupt spatial variations in the environmental conditions vital for population growth: sustained oscillations, decaying oscillations and exponential relaxation towards a flat profile. We relate the wavelength and decay length of the wrinkles to the shape of the interaction kernel. Since these spatial structures encode details about the interaction among individuals, we discuss how heterogeneities reveal information that would be hidden in a flat landscape.
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