Predicting Irregularities in Population Cycles

Authors

Shandelle M. Henson, Andrews UniversityFollow
James R. Reilly, Cornell University
Suzanne L. Robertson, William & Mary
Matthew C. Schu, William & Mary
Eric W. D. Rozier, William & Mary
J. M. Cushing, The University of Arizona

Document Type

Article

Publication Date

5-23-2003

Keywords

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

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.

Journal Title

SIAM Journal on Applied Dynamical Systems

Volume

2

Issue

2

First Page

238

Last Page

253

DOI

https://doi.org/10.1137/S1111111102411262

First Department

Mathematics

Recommended Citation

Henson, Shandelle M.; Reilly, James R.; Robertson, Suzanne L.; Schu, Matthew C.; Rozier, Eric W. D.; and Cushing, J. M., "Predicting Irregularities in Population Cycles" (2003). Faculty Publications. 2232.
https://digitalcommons.andrews.edu/pubs/2232

Acknowledgements

Open access article retrieved April 8, 2021 from https://epubs.siam.org/doi/pdf/10.1137/S1111111102411262