Spatiotemporal dynamics in ecology: Insights from physics

Jonathan A. Sherratt; Matthew J. Smith; Jens D. M. Rademacher

doi:10.1142/9789814304634_0062

Spatiotemporal dynamics in ecology: Insights from physics

Jonathan A. Sherratt, Matthew J. Smith, Jens D. M. Rademacher

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Simulations of invasion in cyclic predator-prey systems show plane waves behind the invasion front. When the selected plane wave is unstable, there is a band of plane waves of constant width, followed by spatiotemporal chaos. We describe a new method for calculating the width of this band, based on the absolute stability of plane waves in moving frames of reference. This calculation shows that the band width can be very sensitive to changes in parameters, and we discuss the ecological implications of this result.

Original language	English
Title of host publication	XVIth International Congress on Mathematical Physics
Publisher	World Scientific Publishing
Pages	651-662
Number of pages	12
ISBN (Electronic)	9789814465052
ISBN (Print)	9789814304627
DOIs	https://doi.org/10.1142/9789814304634_0062
Publication status	Published - Mar 2010

Keywords

Absolute stability
Complex Ginzburg-Landau equation
Plane wave

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy

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10.1142/9789814304634_0062

Cite this

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title = "Spatiotemporal dynamics in ecology: Insights from physics",

abstract = "Simulations of invasion in cyclic predator-prey systems show plane waves behind the invasion front. When the selected plane wave is unstable, there is a band of plane waves of constant width, followed by spatiotemporal chaos. We describe a new method for calculating the width of this band, based on the absolute stability of plane waves in moving frames of reference. This calculation shows that the band width can be very sensitive to changes in parameters, and we discuss the ecological implications of this result.",

keywords = "Absolute stability, Complex Ginzburg-Landau equation, Plane wave",

author = "Sherratt, \{Jonathan A.\} and Smith, \{Matthew J.\} and Rademacher, \{Jens D. M.\}",

year = "2010",

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Y1 - 2010/3

N2 - Simulations of invasion in cyclic predator-prey systems show plane waves behind the invasion front. When the selected plane wave is unstable, there is a band of plane waves of constant width, followed by spatiotemporal chaos. We describe a new method for calculating the width of this band, based on the absolute stability of plane waves in moving frames of reference. This calculation shows that the band width can be very sensitive to changes in parameters, and we discuss the ecological implications of this result.

AB - Simulations of invasion in cyclic predator-prey systems show plane waves behind the invasion front. When the selected plane wave is unstable, there is a band of plane waves of constant width, followed by spatiotemporal chaos. We describe a new method for calculating the width of this band, based on the absolute stability of plane waves in moving frames of reference. This calculation shows that the band width can be very sensitive to changes in parameters, and we discuss the ecological implications of this result.

KW - Absolute stability

KW - Complex Ginzburg-Landau equation

KW - Plane wave

UR - https://www.scopus.com/pages/publications/84969746036

U2 - 10.1142/9789814304634_0062

DO - 10.1142/9789814304634_0062

M3 - Conference contribution

AN - SCOPUS:84969746036

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SP - 651

EP - 662

BT - XVIth International Congress on Mathematical Physics

PB - World Scientific Publishing

ER -

Spatiotemporal dynamics in ecology: Insights from physics

Abstract

Keywords

ASJC Scopus subject areas

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