A tale of two cycles - distinguishing quasi-cycles and limit cycles in finite predator-prey populations
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چکیده
منابع مشابه
A tale of two cycles distinguishing quasi-cycles and limit cycles in finite predator prey populations
M. Pineda-Krch ([email protected]), H. J. Blok and M. Doebeli, Dept of Zoology and Dept of Mathematics, Univ. of British Columbia, Vancouver, Canada BC V6T 1Z4. Present address for MP-K: Center for Animal Disease Modeling and Surveillance, Dept of Medicine and Epidemiology, School of Veterinary Medicine, Univ. of California, Davis, CA 95616, USA. U. Dieckmann, Evolution and Ecology Program,...
متن کاملA Tale of Two Cycles - Distinguishing Quasi-cycles and Limit Cycles in the Finite Predator- Prey Populations
............................................................................................................................ 2 Introduction ...................................................................................................................... 3 Model................................................................................................................................ 5 ...
متن کاملLimit cycles in predator-prey communities.
Essentially all models that have been proposed for predator-prey systems are shown to possess either a stable point equilibrium or a stable limit cycle. This stable limit cycle, an explicitly nonlinear feature, is commonly overlooked in conventional analyses of these models. Such a stable limit cycle provides a satisfying explanation for those animal communities in which populations are observe...
متن کاملMultiple limit cycles for predator-prey models.
We construct a Gause-type predator-prey model with concave prey isocline and (at least) two limit cycles. This serves as a counter-example to the global stability criterion of Hsu [Math. Biosci. 39:1-10 (1978)].
متن کاملThe stochastic nature of predator-prey cycles
Article history: Received 30 September 2008 Received in revised form 18 December 2008 Accepted 8 January 2009 Available online xxxx PACS: 87.23.Cc 87.10.Hk 05.70.Ln
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ژورنال
عنوان ژورنال: Oikos
سال: 2006
ISSN: 0030-1299
DOI: 10.1111/j.2006.0030-1299.14940.x