Global asymptotic stability of density dependent integral population projection models

DOI10.1016/j.tpb.2011.11.002zbMath1322.92062OpenAlexW1998612369WikidataQ51481668 ScholiaQ51481668MaRDI QIDQ2261848

Brigitte Tenhumberg, Stuart Townley, Richard Rebarber

Publication date: 13 March 2015

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tpb.2011.11.002

zbMATH Keywords

population dynamicsnonlinear feedbackstage structured modeldensity dependenceintegral projection

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory for difference equations (39A30)

Related Items (13)

Sensitivity and elasticity analysis of a Lur'e system used to model a population subject to density-dependent reproduction ⋮ A switching feedback control approach for persistence of managed resources ⋮ Stabilization by Adaptive Feedback Control for Positive Difference Equations with Applications in Pest Management ⋮ Semi-global persistence and stability for a class of forced discrete-time population models ⋮ Small-gain stability theorems for positive Lur'e inclusions ⋮ Feedback control systems analysis of density dependent population dynamics ⋮ A necessary condition for dispersal driven growth of populations with discrete patch dynamics ⋮ Modeling and analysis of a density-dependent stochastic integral projection model for a disturbance specialist plant and its seed bank ⋮ Persistence and stability for a class of forced positive nonlinear delay-differential systems ⋮ Global asymptotic stability of plant-seed bank models ⋮ Stability of NonNegative Lur'e Systems ⋮ Boundedness, persistence and stability for classes of forced difference equations arising in population ecology ⋮ Persistence versus extinction for a class of discrete-time structured population models

Cites Work

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• Feedback control systems analysis of density dependent population dynamics
• Stochastic stable population growth in integral projection models: theory and application
• Structured Population Dynamics: An Introduction to Integral Modeling
• Mathematical Systems Theory I
• A limit set trichotomy for monotone nonlinear dynamical systems
• Monotone maps: a review

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