Absolute stability and dynamical stabilisation in predator-prey systems
Absolute stability and dynamical stabilisation in predator-prey systems
复制标题
捕食者-被捕食者系统的绝对稳定性和动态稳定性
DOI：
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复制
发表时间：
2014
影响因子：
1.9
通讯作者：
J. Sherratt
中科院分区：
文献类型：
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作者：
Ayawoa S. Dagbovie;J. Sherratt
许多生态系统呈现多年周期。在这样的系统中，入侵具有复杂的时空结构。特别是，它是常见的不稳定的稳定状态存在的长期瞬态背后的入侵前沿，一种现象称为动态稳定。我们结合联合收割机的绝对稳定性理论和计算来预测如何稳定区域的宽度取决于参数值。我们发展我们的计算的背景下，一个循环的捕食者-猎物系统，在该模型中的入侵前和时空振荡的捕食者和猎物分离的共存的稳定状态是动态稳定的区域。
Many ecological systems exhibit multi-year cycles. In such systems, invasions have a complicated spatiotemporal structure. In particular, it is common for unstable steady states to exist as long-term transients behind the invasion front, a phenomenon known as dynamical stabilisation. We combine absolute stability theory and computation to predict how the width of the stabilised region depends on parameter values. We develop our calculations in the context of a model for a cyclic predator-prey system, in which the invasion front and spatiotemporal oscillations of predators and prey are separated by a region in which the coexistence steady state is dynamically stabilised.