Nagano Seido, Maeda Yusuke
Department of Bioinformatics, Ritsumeikan University, 1-1-1 Nojihigashi, Shiga 525-8577, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jan;85(1 Pt 1):011915. doi: 10.1103/PhysRevE.85.011915. Epub 2012 Jan 23.
The relationship between predator and prey plays an important role in ecosystem conservation. However, our understanding of the principles underlying the spatial distribution of predators and prey is still poor. Here we present a phase diagram of a predator-prey system and investigate the lattice formation in such a system. We show that the production of stable lattice structures depends on the limited diffusion or migration of prey as well as higher carrying capacity for the prey. In addition, when the prey's growth rate is lower than the birth rate of the predator, global prey lattice formation is initiated by microlattices at the center of prey spirals. The predator lattice is later formed in the predator spirals. But both lattice formations proceed together as the prey growth rate increases.
捕食者与猎物之间的关系在生态系统保护中起着重要作用。然而，我们对捕食者和猎物空间分布背后的原理仍了解不足。在此，我们展示了一个捕食者 - 猎物系统的相图，并研究了该系统中的晶格形成。我们表明，稳定晶格结构的产生取决于猎物有限的扩散或迁移以及猎物更高的承载能力。此外，当猎物的生长速率低于捕食者的出生率时，全局猎物晶格形成由猎物螺旋中心的微晶格引发。捕食者晶格随后在捕食者螺旋中形成。但随着猎物生长速率的增加，两种晶格形成会同时进行。
