Predicting irregularities in population cycles

Shandelle M. Henson; James R. Reilly; Suzanne L. Robertson; Matthew C. Schu; Eric W.D. Rozier; J. M. Cushing

doi:10.1137/S1111111102411262

Predicting irregularities in population cycles

Shandelle M. Henson, James R. Reilly, Suzanne L. Robertson, Matthew C. Schu, Eric W.D. Rozier, J. M. Cushing

Mathematics

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

3 Scopus citations

Abstract

Oscillating population data often exhibit cycle irregularities such as episodes of damped oscillation and abrupt changes of cycle phase. The prediction of such irregularities is of interest in applications ranging from food production to wildlife management. We use concepts from dynamical systems theory to present a model-based method for quantifying the risk of impending cycle irregularity.

Original language	English (US)
Pages (from-to)	238-253
Number of pages	16
Journal	SIAM Journal on Applied Dynamical Systems
Volume	2
Issue number	2
DOIs	https://doi.org/10.1137/S1111111102411262
State	Published - May 23 2003

Keywords

Basins of attraction
Nonlinear population dynamics
Periodic solutions
Phase switching
Stochasticity

ASJC Scopus subject areas

Analysis
Modeling and Simulation

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10.1137/S1111111102411262

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title = "Predicting irregularities in population cycles",

abstract = "Oscillating population data often exhibit cycle irregularities such as episodes of damped oscillation and abrupt changes of cycle phase. The prediction of such irregularities is of interest in applications ranging from food production to wildlife management. We use concepts from dynamical systems theory to present a model-based method for quantifying the risk of impending cycle irregularity.",

keywords = "Basins of attraction, Nonlinear population dynamics, Periodic solutions, Phase switching, Stochasticity",

author = "Henson, {Shandelle M.} and Reilly, {James R.} and Robertson, {Suzanne L.} and Schu, {Matthew C.} and Rozier, {Eric W.D.} and Cushing, {J. M.}",

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AU - Henson, Shandelle M.

AU - Reilly, James R.

AU - Robertson, Suzanne L.

AU - Schu, Matthew C.

AU - Rozier, Eric W.D.

AU - Cushing, J. M.

PY - 2003/5/23

Y1 - 2003/5/23

N2 - Oscillating population data often exhibit cycle irregularities such as episodes of damped oscillation and abrupt changes of cycle phase. The prediction of such irregularities is of interest in applications ranging from food production to wildlife management. We use concepts from dynamical systems theory to present a model-based method for quantifying the risk of impending cycle irregularity.

AB - Oscillating population data often exhibit cycle irregularities such as episodes of damped oscillation and abrupt changes of cycle phase. The prediction of such irregularities is of interest in applications ranging from food production to wildlife management. We use concepts from dynamical systems theory to present a model-based method for quantifying the risk of impending cycle irregularity.

KW - Basins of attraction

KW - Nonlinear population dynamics

KW - Periodic solutions

KW - Phase switching

KW - Stochasticity

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Predicting irregularities in population cycles

Abstract

Keywords

ASJC Scopus subject areas

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