The effect of predator limitation on the dynamics of simple food chains
The effect of predator limitation on the dynamics of simple food chains
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捕食者限制对简单食物链动力学的影响
DOI：
10.1007/s12080-013-0204-6
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发表时间：
2014
影响因子：
1.6
通讯作者：
B Drossel
中科院分区：
文献类型：
--
作者：
CK Schmitt;S Schulz;J Braun;C Guill;B Drossel
本文研究了捕食者之间的竞争对双食捕食系统和三食食物链系统动力学的影响。捕食者之间的竞争要么是干扰竞争，要么是密度依赖的死亡率。在干扰竞争的情况下，富集悖论被减少或完全抑制，但除此之外，系统的动力学行为与Rosenzweig-MacArthur模型没有根本不同，后者不包含捕食者竞争，只显示不动点之间的连续过渡或周期振荡。与此相反，密度依赖的捕食者死亡率，系统显示出令人惊讶的丰富的动力学行为。特别是，减少密度调节的捕食者可以诱导灾难性的转变，从一个稳定的固定点到一个大的振荡，捕食者追逐猎物通过一个循环，使两个物种接近灭绝的阈值。其他灾难性分岔，例如亚临界霍普夫分岔和极限环的鞍结分岔也会发生。在三营养食物链中，我们再次发现，不动点的捕食者的干扰模型变得不稳定，只有通过Hopf分岔，这也可以是亚临界的，在对比的双营养的情况。具有密度限制的模型再次表现出不动点的灾难性失稳和各种非局部分岔。此外，在适当的参数范围内，两种模型都出现了混沌现象。
We investigate the influence of competition between predators on the dynamics of bitrophic predator–prey systems and of tritrophic food chains. Competition between predators is implemented either as interference competition, or as a density-dependent mortality rate. With interference competition, the paradox of enrichment is reduced or completely suppressed, but otherwise, the dynamical behavior of the systems is not fundamentally different from that of the Rosenzweig–MacArthur model, which contains no predator competition and shows only continuous transitions between fixed points or periodic oscillations. In contrast, with density-dependent predator mortality, the system shows a surprisingly rich dynamical behavior. In particular, decreasing the density regulation of the predator can induce catastrophic shifts from a stable fixed point to a large oscillation where the predator chases the prey through a cycle that brings both species close to the threshold of extinction. Other catastrophic bifurcations, such as subcritical Hopf bifurcations and saddle-node bifurcations of limit cycles, do also occur. In tritrophic food chains, we find again that fixed points in the model with predator interference become unstable only through Hopf bifurcations, which can also be subcritical, in contrast to the bitrophic situation. The model with a density limitation shows again catastrophic destabilization of fixed points and various nonlocal bifurcations. In addition, chaos occurs for both models in appropriate parameter ranges.
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比率依赖型捕食模型的异常预测
影响因子：
3.4
作者：
P. Abrams
通讯作者：
P. Abrams
影响因子：
3.3
作者：
Fussmann, GF;Blasius, B
通讯作者：
Blasius, B
影响因子：
3.4
作者：
Gross, T;Ebenhöh, W;Feudel, U
通讯作者：
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DOI：
10.1007/b98848
发表时间：
2023
期刊：
Applied Mathematical Sciences
影响因子：
--
作者：
Y. Kuznetsov
通讯作者：
Y. Kuznetsov
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影响因子：
4.3
作者：
G. van Voorn;B. Kooi;M. Boer
通讯作者：
M. Boer