Levine S H, Scudo F M, Plunkett D J
J Math Biol. 1977 May 23;4(2):171-82. doi: 10.1007/BF00275982.
Three second order difference equation models are analyzed and numerical solutions computed. It is shown that two concepts of ecosystem stability, the local property of convergence and the global property of persistence, do not coincide, and that the exislity are obtained and shown as parameter space diagrams. Examples of solution trajectories representative of different regions of this space are computed and discussed. A wide range of oscillatory behavior, as noted in recent papers by several authors, results. In addition, the erratic nature of regions of convergence to stable solutions is discussed.
分析了三个二阶差分方程模型并计算了数值解。结果表明，生态系统稳定性的两个概念，即收敛的局部性质和持续存在的全局性质并不一致，并且得到了存在性并以参数空间图的形式展示。计算并讨论了代表该空间不同区域的解轨迹示例。正如几位作者最近的论文中所指出的，出现了广泛的振荡行为。此外，还讨论了收敛到稳定解区域的不稳定性质。
