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Science 17 November 2000:
Vol. 290. no. 5495, pp. 1358 - 1360
DOI: 10.1126/science.290.5495.1358
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Reports

Crossing the Hopf Bifurcation in a Live Predator-Prey System

Gregor F. Fussmann,1* Stephen P. Ellner,12 Kyle W. Shertzer,2 Nelson G. Hairston Jr.1

Population biologists have long been interested in the oscillations in population size displayed by many organisms in the field and laboratory. A wide range of deterministic mathematical models predict that these fluctuations can be generated internally by nonlinear interactions among species and, if correct, would provide important insights for understanding and predicting the dynamics of interacting populations. We studied the dynamical behavior of a two-species aquatic laboratory community encompassing the interactions between a demographically structured herbivore population, a primary producer, and a mineral resource, yet still amenable to description and parameterization using a mathematical model. The qualitative dynamical behavior of our experimental system, that is, cycles, equilibria, and extinction, is highly predictable by a simple nonlinear model.

1 Department of Ecology and Evolutionary Biology, Corson Hall, Cornell University, Ithaca, NY 14853, USA.
2 Biomathematics Program, Department of Statistics, North Carolina State University, Raleigh, NC 27695-8203, USA.
*   To whom correspondence should be addressed. E-mail: GFF1{at}cornell.edu

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Science. ISSN 0036-8075 (print), 1095-9203 (online)