Basins of attraction, Nonlinear population dynamics, Periodic solutions, Phase switching, Stochasticity
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.
SIAM Journal on Applied Dynamical Systems
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.
Open access article retrieved April 8, 2021 from https://epubs.siam.org/doi/pdf/10.1137/S1111111102411262