标题： Lotka-Volterra系统中灭绝与存活的统计学 显示英文标题

标题： Statistics of extinction and survival in Lotka-Volterra systems

摘要： 我们分析了具有随机相互作用矩阵的纯竞争多物种Lotka-Volterra系统，重点研究其渐近状态的统计特性。 从相空间结构的半定性分析中概述了演化的普遍特征，并进行了广泛的数值模拟以研究灭绝的统计特性。 我们发现，幸存物种的数量强烈依赖于相互作用矩阵的统计特性，而生存概率与特定初始条件弱相关。 显示英文摘要

摘要： We analyze purely competitive many-species Lotka-Volterra systems with random interaction matrices, focusing the attention on statistical properties of their asymptotic states. Generic features of the evolution are outlined from a semiquantitative analysis of the phase-space structure, and extensive numerical simulations are performed to study the statistics of the extinctions. We find that the number of surviving species depends strongly on the statistical properties of the interaction matrix, and that the probability of survival is weakly correlated to specific initial conditions.