论文标题
景观引起的人口动态的空间振荡
Landscape-induced spatial oscillations in population dynamics
论文作者
论文摘要
我们研究了生态景观施加的干扰对根据非局部FKPP方程发展的人群的空间分布的影响。使用数值和分析技术,我们探索了在环境条件下可能在人口增长至关重要的环境条件下可能在突然的空间变化中发展的三种类型的固定曲线:持续的振荡,衰减的振荡和指数的放松朝着平坦的轮廓。我们将皱纹的波长和衰减长度与相互作用内核的形状联系起来。由于这些空间结构编码有关个体之间相互作用的细节,因此我们讨论了异质性如何揭示将隐藏在平坦景观中的信息。
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.