Global asymptotic stability of plant-seed bank models

DOI10.1007/s00285-013-0689-zzbMath1321.92067OpenAlexW2154969835WikidataQ33455693 ScholiaQ33455693MaRDI QIDQ2510387

Brigitte Tenhumberg, Eric Alan Eager, Richard Rebarber

Publication date: 1 August 2014

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

Full work available at URL: https://doi.org/10.1007/s00285-013-0689-z

zbMATH Keywords

global asymptotic stabilitydensity dependencestructured population modelcontest competitionscramble competitionage-structured seed bank

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23) Plant biology (92C80)

Related Items (12)

The many guises of \(R_0\) (a didactic note) ⋮ 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 ⋮ 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 ⋮ Dynamic observers for unknown populations ⋮ 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
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• Global asymptotic stability of density dependent integral population projection models
• Bottom-up derivation of population models for competition involving multiple resources
• Structured Population Dynamics: An Introduction to Integral Modeling
• Mathematical Systems Theory I
• Monotone maps: a review

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