Ecological oscillations induced by a shared predator and the "Winner peaks first" rule

Pia Cordsen; Simone Pigolotti; Mogens Høgh Jensen

doi:10.1103/physreve.84.031915

Ecological oscillations induced by a shared predator and the "Winner peaks first" rule

Pia Cordsen, Simone Pigolotti, Mogens Høgh Jensen

Abstract

We investigate the dynamics of an ecological system made up of one predator feeding on two different prey species. In a large range of parameter space, the system displays oscillating solutions. We show that, in the regime in which the two preys coexist, the better fit prey consistently peaks first. Further, we classify the possible oscillations of the network by a symbolic dynamics method. Our findings show that the symbolic orbits of an ecological system contain information about which of two preys is the better fit, and when one is bound to extinction.

Original language	English
Journal	Physical Review E. Statistical, Nonlinear, and Soft Matter Physics
Volume	84
Issue number	3
Pages (from-to)	031915
ISSN	1539-3755
DOIs	https://doi.org/10.1103/physreve.84.031915
Publication status	Published - 16 Sept 2011

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10.1103/physreve.84.031915

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abstract = "We investigate the dynamics of an ecological system made up of one predator feeding on two different prey species. In a large range of parameter space, the system displays oscillating solutions. We show that, in the regime in which the two preys coexist, the better fit prey consistently peaks first. Further, we classify the possible oscillations of the network by a symbolic dynamics method. Our findings show that the symbolic orbits of an ecological system contain information about which of two preys is the better fit, and when one is bound to extinction.",

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AU - Jensen, Mogens Høgh

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AB - We investigate the dynamics of an ecological system made up of one predator feeding on two different prey species. In a large range of parameter space, the system displays oscillating solutions. We show that, in the regime in which the two preys coexist, the better fit prey consistently peaks first. Further, we classify the possible oscillations of the network by a symbolic dynamics method. Our findings show that the symbolic orbits of an ecological system contain information about which of two preys is the better fit, and when one is bound to extinction.

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DO - 10.1103/physreve.84.031915

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JO - Physical Review E. Statistical, Nonlinear, and Soft Matter Physics

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Ecological oscillations induced by a shared predator and the "Winner peaks first" rule

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