论文标题
具有相互作用结构的大型Lotka Volterra系统的可行性和稳定性
Feasibility and stability in large Lotka Volterra systems with interaction structure
论文作者
论文摘要
可以使用随机矩阵理论（RMT）或可行性（需要正平衡丰度）来研究复杂系统稳定性。两种方法都强调了交互结构的重要性。在这里，我们在分析和数字上显示了RMT和可行性方法如何互补。在具有随机相互作用矩阵的广义Lotka-volterra（GLV）模型中，当捕食者捕集的相互作用增加时，可行性会增加。竞争/互惠的增加具有相反的效果。这些变化对GLV模型的稳定性具有至关重要的影响。
Complex system stability can be studied via linear stability analysis using Random Matrix Theory (RMT) or via feasibility (requiring positive equilibrium abundances). Both approaches highlight the importance of interaction structure. Here we show, analytically and numerically, how RMT and feasibility approaches can be complementary. In generalised Lotka-Volterra (GLV) models with random interaction matrices, feasibility increases when predator-prey interactions increase; increasing competition/mutualism has the opposite effect. These changes have crucial impact on the stability of the GLV model.
