Persistence and global stability for a class of discrete time structured population models

DOI10.3934/dcds.2013.33.4627zbMath1306.37099OpenAlexW2326654854MaRDI QIDQ379604

Horst R. Thieme, Hal Leslie Smith

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.4627

zbMATH Keywords

stabilitypersistencediscrete timepersistence attractorstructured population model

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (16)

Derivation and analysis of a discrete predator-prey model ⋮ 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 ⋮ Persistence and stability for a class of forced positive nonlinear delay-differential systems ⋮ The converging-input converging-state property for Lur'e systems ⋮ Analysis of a length-structured density-dependent model for fish ⋮ Dynamic observers for unknown populations ⋮ Stability of NonNegative Lur'e Systems ⋮ Discrete-time population dynamics on the state space of measures ⋮ Boundedness, persistence and stability for classes of forced difference equations arising in population ecology ⋮ Computational method for estimating the domain of attraction of discrete-time uncertain rational systems ⋮ Persistence versus extinction for a class of discrete-time structured population models

This page was built for publication: Persistence and global stability for a class of discrete time structured population models