کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8844860 | 1617081 | 2017 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Alternative (un)stable states in a stochastic predator-prey model
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کلمات کلیدی
موضوعات مرتبط
علوم زیستی و بیوفناوری
علوم کشاورزی و بیولوژیک
بوم شناسی، تکامل، رفتار و سامانه شناسی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Alternative (un)stable states in a stochastic predator-prey model Alternative (un)stable states in a stochastic predator-prey model](/preview/png/8844860.png)
چکیده انگلیسی
Stochastic models sometimes behave qualitatively differently from their deterministic analogues. We explore the implications of this in ecosystems that shift suddenly from one state to another. This phenomenon is usually studied through deterministic models with multiple stable equilibria under a single set of conditions, with stability defined through linear stability analysis. However, in stochastic systems, some unstable states can trap stochastic dynamics for long intervals, essentially masquerading as additional stable states. Using a predator-prey model, we demonstrate that this effect is sufficient to make a stochastic system with one stable state exhibit the same characteristics as an analogous system with alternative stable states. Although this result is surprising with respect to how stability is defined by standard analyses, we show that it is well-anticipated by an alternative approach based on the system's “quasi-potential.” Broadly, understanding the risk of sudden state shifts will require a more holistic understanding of stability in stochastic systems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Ecological Complexity - Volume 32, Part B, December 2017, Pages 181-195
Journal: Ecological Complexity - Volume 32, Part B, December 2017, Pages 181-195
نویسندگان
Karen C. Abbott, Ben C. Nolting,