Mir Hana, Stidham James, Pleimling Michel
Department of Physics and Center for Soft Matter and Biological Physics, Virginia Tech, Blacksburg, Virginia 24061-0435, USA.
Phys Rev E. 2022 May;105(5-1):054401. doi: 10.1103/PhysRevE.105.054401.
Three-species cyclic predator-prey systems are known to establish spiral waves that allow species to coexist. In this study, we analyze a structured heterogeneous system which gives one species an advantage to escape predation in an area that we refer to as a habitat and study the effect on species coexistence and emerging spatiotemporal patterns. Counterintuitively, the predator of the advantaged species emerges as dominant species with the highest average density inside the habitat. The species given the advantage in the form of an escape rate has the lowest average density until some threshold value for the escape rate is exceeded, after which the density of the species with the advantage overtakes that of its prey. Numerical analysis of the spatial density of each species as well as of the spatial two-point correlation function for both inside and outside the habitats allow a detailed quantitative discussion. Our analysis is extended to a six-species game that exhibits spontaneous spiral waves, which displays similar but more complicated results.
已知三种群循环捕食者 - 猎物系统会形成螺旋波，使物种得以共存。在本研究中，我们分析了一个结构化的异质系统，该系统赋予一个物种在我们称为栖息地的区域躲避捕食的优势，并研究其对物种共存和新兴时空模式的影响。与直觉相反的是，优势物种的捕食者成为优势种，在栖息地内平均密度最高。以逃逸率形式获得优势的物种平均密度最低，直到超过逃逸率的某个阈值，之后具有优势的物种密度超过其猎物的密度。对每个物种的空间密度以及栖息地内外的空间两点相关函数进行数值分析，有助于进行详细的定量讨论。我们的分析扩展到了一个表现出自发螺旋波的六种群博弈，其结果相似但更复杂。
