偶数种群循环捕食模型的分离过程和相变
Segregation process and phase transition in cyclic predator-prey models with even number of species
摘要：
研究了一个具有偶数个物种（n=4，6和8）的空间循环捕食-被捕食模型，该模型允许形成由偶数和奇数标签物种组成的两个有缺陷的联盟.物种分布在一个正方形网格的网站。空间分布的演变是由两个基本过程的迭代随机选择相邻的网站：如果网站被占领的捕食者-猎物对然后捕食者入侵猎物的网站，否则物种交换其网站的概率$X$。对于低$X$值，自组织模式由循环侵入维持。如果$X$超过阈值，则分别由奇数和偶数标记物质形成的两种类型的结构域生长。蒙特卡罗模拟表明，对于n=8，在X的范围内，该偏析过程被阻断。
英文摘要：
We study a spatial cyclic predator-prey model with an even number of species (for n=4, 6, and 8) that allows the formation of two defective alliances consisting of the even and odd label species. The species are distributed on the sites of a square lattice. The evolution of spatial distribution is governed by iteration of two elementary processes on neighboring sites chosen randomly: if the sites are occupied by a predator-prey pair then the predator invades the prey's site; otherwise the species exchange their site with a probability $X$. For low $X$ values a self-organizing pattern is maintained by cyclic invasions. If $X$ exceeds a threshold value then two types of domains grow up that formed by the odd and even label species, respectively. Monte Carlo simulations indicate the blocking of this segregation process within a range of X for n=8.
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