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Predator-Prey Cycles from Resonant Amplification of Demographic Stochasticity
Open accessAbstract
We present the simplest individual level model of predator-prey dynamics and show, via direct calculation, that it exhibits cycling behavior. The deterministic analogue of our model, recovered when the number of individuals is infinitely large, is the Volterra system (with density-dependent prey reproduction) which is well known to fail to predict cycles. This difference in behavior can be traced to a resonant amplification of demographic fluctuations which disappears only when the number of individuals is strictly infinite. Our results indicate that additional biological mechanisms, such as predator satiation, may not be necessary to explain observed predator-prey cycles in real (finite) populations.
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Cited by
Stochastic formulation of ecological models and their applications
Black, A. J., & McKane, A. J. (2012) · Trends in Ecology & Evolution · doi:10.1016/j.tree.2012.01.014 · Cited by 255
Self-citationFluctuation-driven Turing patterns
Butler, T., & Goldenfeld, N. (2011) · Physical Review E · doi:10.1103/physreve.84.011112 · Cited by 131
Kraikivski, P. (2021) · Entropy · doi:10.3390/e23050583 · Cited by 4
Metadata
- Authors
- McKane, A. J., & Newman, T. J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2005-06-02
- Volume
- 94
- Issue
- 21
- Pages
- 218102-218102
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2118443758
- Cited by
- 433
- References
- 0
- FWCI
- 10.68
- Type
- journal article
- Language
- en
- Open access
- green
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- McKane, A. J., & Newman, T. J. (2005). Predator-Prey Cycles from Resonant Amplification of Demographic Stochasticity. Physical Review Letters. https://doi.org/10.1103/physrevlett.94.218102
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