Faculty Publications
Title
A Note on the Onset of Synchrony in Avian Ovulation Cycles
Document Type
Article
Publication Date
2014
Abstract
Spontaneous oscillator synchrony occurs when populations of interacting oscillators begin cycling together in the absence of environmental forcing. Synchrony has been documented in many physical and biological systems, including oestrus/menstrual cycles in rats and humans. In previous work we showed that Glaucous-winged Gulls (Larus glaucescens) can lay eggs synchronously on an every-other-day schedule, and that synchrony increases with colony density. Here we pose a discrete-time model of avian ovulation to study the dynamics of synchronization. We prove the existence and uniqueness of an equilibrium solution which bifurcates to increasingly synchronous cycles as colony density increases.
Journal Title
Journal of Difference Equations and Applications
Volume
20
Issue
4
First Page
664
Last Page
668
Recommended Citation
Henson, Shandelle M. and Burton, Danielle, "A Note on the Onset of Synchrony in Avian Ovulation Cycles" (2014). Faculty Publications. 5.
https://digitalcommons.andrews.edu/math-pubs/5
