Permanence of some ecological systems with several predator and one prey species
Permanence of some ecological systems with several predator and one prey species
复制标题
某些具有多种捕食者和一种被捕食者的生态系统的持久性
DOI：
10.1007/bf00277734
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发表时间：
1988
期刊：
影响因子：
--
通讯作者：
G. Kirlinger
中科院分区：
文献类型：
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作者：
G. Kirlinger
下文中使用的稳定性标准是“持久性”。持久性意味着所有从内部开始的轨迹最终都有界远离边界，并且这个界与初始值无关。因此，足够小的波动不会导致任何物种的灭绝。下面我们分别讨论一个猎物，两个捕食者。一食饵三捕食者系统和一食饵两捕食者一顶捕食者三营养级系统。事实证明，这种模型描述的Lotka-Volterra动力学的永久性的特征是相当简单和优雅的。
The stability criterion used in the following is “permanence”. Permanence means that all trajectories starting in the interior are ultimately bounded away from the boundary and that this bound is independent of the initial values. Hence sufficiently small fluctuations cannot lead to extinction of any species. In the following we deal with one-prey, two-predator resp. one-prey, three-predator systems and a one-prey, two-predator, one-top-predator system with three trophic levels. It turns out that the characterization of permanence for such models described by Lotka-Volterra dynamics is rather simple and elegant.