Impact of noise on bistable ecological systems

Impact of noise on bistable ecological systems
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DOI:
10.1016/j.ecolmodel.2006.10.005
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发表时间:
2007-03-10
影响因子:
3.1
通讯作者:
Jayaprakash, C.
Jayaprakash, C.
中科院分区:
环境科学与生态学3区
文献类型:
--
作者:
Guttal, Vishwesha;Jayaprakash, C.

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在确定性模型中,生态系统中可选稳定状态的存在及其意义已被广泛研究。本文研究了环境参数(如养分输入和降雨量)的随机波动对两个简单的具有单一动力变量的双稳态生态模型行为的影响。我们描述了双稳系统分叉图的变化:我们发现,对于少量的噪声,双稳区域被缩小,而对于超过临界宽度的噪声,在双稳被噪声消除的区域内,双稳完全消失。解的时间序列表明,系统可以经历频繁的灾难性区域转变。我们还讨论了一些结果如何依赖于特定于模型的细节。我们评论了我们的结果对噪声特征变化的稳健性以及对真实系统建模的影响。(C)2006爱思唯尔B.V.保留所有权利。
The existence and implications of alternative stable states in ecological systems have been studied extensively within deterministic models. In this paper, we study the influence of random fluctuations in environmental parameters (e.g. nutrient input and rainfall) on the behavior of two simple bistable, ecological models with a single dynamical variable. We describe the changes in the bifurcation diagram of the bistable system: we find that the region of bistability is reduced for small amounts of noise while for noise beyond a critical width bistability vanishes completely in the regime where bistability is eliminated by the noise, the time series of the solution shows that the system can undergo frequent catastrophic regime shifts. We also discuss how some of the results depend on model-specific details. We comment on the robustness of our results to changes in the noise characteristics and the implications for modeling real systems. (c) 2006 Elsevier B.V. All rights reserved.