论文标题
具有随机的非重点相互作用的广义Lotka-Volterra方程：典型的平衡数
Generalized Lotka-Volterra equations with random, non-reciprocal interactions: the typical number of equilibria
论文作者
论文摘要
我们使用复制的KAC-RICE方法计算了广义的Lotka-Volterra方程的典型平衡数量。我们通过确定平衡的平均丰度和相似性来表征多平衡阶段，这是其多样性的函数（即共存物种数量）和相互作用的可变性。我们表明，线性不稳定的平衡是主要的，并且典型的平衡数量相对于平均数量有所不同。
We compute the typical number of equilibria of the Generalized Lotka-Volterra equations describing species-rich ecosystems with random, non-reciprocal interactions using the replicated Kac-Rice method. We characterize the multiple-equilibria phase by determining the average abundance and similaritybetween equilibria as a function of their diversity (i.e. of the number of coexisting species) and of the variability of the interactions. We show that linearly unstable equilibria are dominant, and that the typical number of equilibria differs with respect to the average number.
