AI 中文总结
研究大型生态系统中竞争与合作平衡问题，通过类似Monod的饱和度及动态平均场理论等方法，揭示更广泛稳定阶段与更高生存率，指出网络架构是控制机制，嵌套性无内在稳定性优势，是高连通度度分布副产品。
AI 中文摘要
大型生态系统平衡竞争与合作，但标准广义Lotka-Volterra模型通过放大无序和驱动无界增长使互利共生不稳定。我们表明，类似Monod的饱和度解决了这一悖论：动态平均场理论和随机矩阵分析揭示了更广泛的稳定阶段和更高的生存率。网络架构提供了第二种控制机制，但嵌套性没有内在稳定性优势，它是稳定所需的高连通度度分布的副产品。
英文摘要
Large ecosystems balance competition and cooperation, yet standard generalized Lotka--Volterra models make mutualism destabilizing by amplifying disorder and driving unbounded growth. We show that Monod-like saturation resolves this paradox: dynamical mean-field theory and random-matrix analysis reveal a broader stable phase and enhanced survival. Network architecture provides a second control mechanism, but nestedness offers no intrinsic stability advantage. Instead, it is a byproduct of degree distributions with high connectivity necessary for stability.
Comments30 pages, 5 figures
