初态变化对四物种捕食模型演化行为的影响  

The Effect of Initial Conditions of a Four-species Cyclic Ecological Model

作　　者：陈婷[1] 姜罗罗[1] 应崇杨[1] 

机构地区：[1]宁波大学理学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2007年第2期202-205,共4页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：国家自然科学基金(10575055)

摘　　要：采用Monte Carlo数值模拟方法对二维正方格子上的四物种循环捕食模型进行研究.相对于四物种等概率的初始条件,研究了四物种不等概率随机分布的初始条件对系统动力学相变行为的影响.研究表明:系统初态状态对体系的动力学演化过程和非平衡相变行为具有非常重要的影响.A four-species cyclic Lotka-Volterra system on a two-dimensional square lattice is studied by Monte Carlo simulation. The influence of initial condition is discussed in two cases. When the initial state is that the sites of the square lattice are occupied by the four species with equal probability, the system exhibits a discontinuous phase transition from a self-organizing poly-domain pattern state to a ＂defensive alliance＂ absorbing state. On the other hand, when the initial state is that the sites of the square lattice are occupied by the four species with unequal probability, the discontinuous phase transition changes into a continuous one. The dynamical exponent is calculated to be δ = 0.40 ± 0.03.

关 键 词：格子模型 多畴自组织斑图 防御联盟 

分 类 号：O469[理学—凝聚态物理] Q141[理学—电子物理学]