Event Title

P-08 Bifurcations in an Animal Behavior Model for Synchronous Egg Laying in a Seabird Colony

Start Date

3-2-2018 2:30 PM

Description

Glaucous-winged gulls (Larus glaucescens) breed on Protection Island, Washington. During years with high sea surface temperature (and hence low food resource), they exhibit egg cannibalism and every-other-day egg-laying synchrony in dense areas of the colony. Here we present a bifurcation analysis of a discrete-time model of egg-laying behavior. We use the Jury Conditions to find the stability criteria of the system as a function of the crowding factor. The equilibrium loses stability in a synchronous two-cycle bifurcation as the crowding factor increases beyond a critical value. We show that in the presence of egg cannibalism synchrony can increase population size.

Acknowledgments

Shandelle M. Henson, PhD.

J. N. Andrews Honors Program.

National Science Foundation.

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Mar 2nd, 2:30 PM

P-08 Bifurcations in an Animal Behavior Model for Synchronous Egg Laying in a Seabird Colony

Glaucous-winged gulls (Larus glaucescens) breed on Protection Island, Washington. During years with high sea surface temperature (and hence low food resource), they exhibit egg cannibalism and every-other-day egg-laying synchrony in dense areas of the colony. Here we present a bifurcation analysis of a discrete-time model of egg-laying behavior. We use the Jury Conditions to find the stability criteria of the system as a function of the crowding factor. The equilibrium loses stability in a synchronous two-cycle bifurcation as the crowding factor increases beyond a critical value. We show that in the presence of egg cannibalism synchrony can increase population size.