Ecological chaos in the wake of invasion

Jonathan A. Sherratt; Mark A. Lewis; Andrew C. Fowler

doi:10.1073/pnas.92.7.2524

Ecological chaos in the wake of invasion

Jonathan A. Sherratt
, Mark A. Lewis
, Andrew C. Fowler

University of Warwick
University of Utah
University of Oxford

Research output: Contribution to journal › Article › peer-review

Abstract

Irregularities in observed population densities have traditionally been attributed to discretization of the underlying dynamics. We propose an alternative explanation by demonstrating the evolution of spatiotemporal chaos in reaction-diffusion models for predator-prey interactions. The chaos is generated naturally in the wake of invasive waves of predators. We discuss in detail the mechanism by which the chaos is generated. By considering a mathematical caricature of the predator-prey models, we go on to explain the dynamical origin of the irregular behavior and to justify our assertion that the behavior we present is a genuine example of spatiotemporal chaos.

Original language	English
Pages (from-to)	2524-2528
Number of pages	5
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	92
Issue number	7
DOIs	https://doi.org/10.1073/pnas.92.7.2524
Publication status	Published - 28 Mar 1995
Externally published	Yes

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SDG 15 Life on Land

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10.1073/pnas.92.7.2524

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abstract = "Irregularities in observed population densities have traditionally been attributed to discretization of the underlying dynamics. We propose an alternative explanation by demonstrating the evolution of spatiotemporal chaos in reaction-diffusion models for predator-prey interactions. The chaos is generated naturally in the wake of invasive waves of predators. We discuss in detail the mechanism by which the chaos is generated. By considering a mathematical caricature of the predator-prey models, we go on to explain the dynamical origin of the irregular behavior and to justify our assertion that the behavior we present is a genuine example of spatiotemporal chaos.",

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AU - Fowler, Andrew C.

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AB - Irregularities in observed population densities have traditionally been attributed to discretization of the underlying dynamics. We propose an alternative explanation by demonstrating the evolution of spatiotemporal chaos in reaction-diffusion models for predator-prey interactions. The chaos is generated naturally in the wake of invasive waves of predators. We discuss in detail the mechanism by which the chaos is generated. By considering a mathematical caricature of the predator-prey models, we go on to explain the dynamical origin of the irregular behavior and to justify our assertion that the behavior we present is a genuine example of spatiotemporal chaos.

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JF - Proceedings of the National Academy of Sciences of the United States of America

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ER -

Ecological chaos in the wake of invasion

Abstract

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