Predicting irregularities in population cycles

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

Research output: Contribution to journalArticle

2 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 languageEnglish (US)
Pages (from-to)238-253
Number of pages16
JournalSIAM Journal on Applied Dynamical Systems
Volume2
Issue number2
DOIs
Publication statusPublished - May 23 2003

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Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Henson, S. M., Reilly, J. R., Robertson, S. L., Schu, M. C., Rozier, E. W. D., & Cushing, J. M. (2003). Predicting irregularities in population cycles. SIAM Journal on Applied Dynamical Systems, 2(2), 238-253. https://doi.org/10.1137/S1111111102411262