Periodic matrix models for seasonal dynamics of structured populations with application to a seabird population

DOI10.1007/s00285-018-1211-4zbMath1404.92147OpenAlexW2791924501WikidataQ48110803 ScholiaQ48110803MaRDI QIDQ1633934

Shandelle M. Henson, Jim M. Cushing

Publication date: 21 December 2018

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-018-1211-4

zbMATH Keywords

stabilityperiodic orbitsbifurcationscannibalismAllee effectanimal behaviortipping pointstructured population dynamicsdiscrete-time population dynamicsperiodically-forced matrix equationsreproductive synchronyseabird population dynamics

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40) Animal behavior (92D50) Applications of difference equations (39A60) Bifurcation theory for difference equations (39A28)

Related Items (3)

Destabilization of a seasonal synchronization in a population model with a seasonally varying Allee effect ⋮ A note on synchronous egg laying in a seabird behaviour model ⋮ Bifurcations in periodic integrodifference equations in \(C(\Omega)\). I: Analytical results and applications.

Cites Work

• Bifurcation theory. An introduction with applications of PDEs
• Allee effects, extinctions, and chaotic transients in simple population models
• A note on the onset of synchrony in avian ovulation cycles
• Socially induced ovulation synchrony and its effect on seabird population dynamics
• A juvenile–adult population model: climate change, cannibalism, reproductive synchrony, and strong Allee effects
• Backward bifurcations and strong Allee effects in matrix models for the dynamics of structured populations
• One Dimensional Maps as Population and Evolutionary Dynamic Models

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