论文标题

通过异质扩散减少临界斑块尺寸

Critical patch size reduction by heterogeneous diffusion

论文作者

Santos, M. A. F. dos, Dornelas, V., Colombo, E. H., Anteneodo, C.

论文摘要

人口存活取决于包括环境结构在内的大量因素。由于景观异质性,物种可以占据特定的地区,这些区域为开发提供理想的情况,并避免了有害环境条件的避难所。如果人口增长克服了穿越斑块边缘的冒险性人造成的损失,则会发生生存。在这项工作中,我们考虑具有依赖空间扩散系数的有界域中的单个物种动力学。我们研究了异质扩散对最小斑块大小的影响,该斑块尺寸允许种群存活,并表明,对于具有相同平均扩散率相同的均质培养基的临界大小通常小于均匀培养基的大小。

Population survival depends on a large set of factors that includes environment structure. Due to landscape heterogeneity, species can occupy particular regions that provide the ideal scenario for development, working as a refuge from harmful environmental conditions. Survival occurs if population growth overcomes the losses caused by adventurous individuals that cross the patch edge. In this work, we consider a single species dynamics in a bounded domain with a space-dependent diffusion coefficient. We investigate the impact of heterogeneous diffusion on the minimal patch size that allows population survival and show that, typically, this critical size is smaller than the one for a homogeneous medium with the same average diffusivity.

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