Lotka-Volterra和May-Leonard实现的石头剪刀布模型中最弱种群的优势
Predominance of the weakest species in Lotka-Volterra and May-Leonard implementations of the rock-paper-scissors model
摘要：
我们重新审视的背景下的Lotka-Volterra和May-Leonard实现的空间随机石头剪刀布模型中，其中一个物种的捕食概率减少了$0 < \mathcal{P}_w < 1$的优势“最弱”的物种的问题。我们发现，尽管不同的种群动力学和空间格局，这两个实现导致定性相似的结果为晚的时间值的三个物种的相对丰度（作为$\mathcal{P}_w$的函数），只要模拟格子足够大的共存占上风-“最弱”的物种一般具有优势，超过其他（特别是超过其捕食者）。然而，对于较小的模拟晶格，我们发现，在初始阶段的随机初始条件的模拟相对较大的振荡可能会导致在一个显着的依赖于物种生存的概率的晶格大小和总的模拟时间。
英文摘要：
We revisit the problem of the predominance of the 'weakest' species in the context of Lotka-Volterra and May-Leonard implementations of a spatial stochastic rock-paper-scissors model in which one of the species has its predation probability reduced by $0 < \mathcal{P}_w < 1$. We show that,despite the different population dynamics and spatial patterns, these two implementations lead to qualitatively similar results for the late time values of the relative abundances of the three species (as a function of $\mathcal{P}_w$), as long as the simulation lattices are sufficiently large for coexistence to prevail --- the 'weakest' species generally having an advantage over the others (specially over its predator). However, for smaller simulation lattices, we find that the relatively large oscillations at the initial stages of simulations with random initial conditions may result in a significant dependence of the probability of species survival on the lattice size and total simulation time.
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