Boundedness, persistence and stability for classes of forced difference equations arising in population ecology

DOI10.1007/s00285-019-01388-7zbMath1422.37067OpenAlexW2955434990WikidataQ92552286 ScholiaQ92552286MaRDI QIDQ2315215

Juan Perán, Chris Guiver, Hartmut Logemann, Daniel Franco Leis

Publication date: 1 August 2019

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

Full work available at URL: https://doi.org/10.1007/s00285-019-01388-7

zbMATH Keywords

absolute stabilityglobal asymptotic stabilitypopulation modelsenvironmental forcingpopulation persistence

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Ecology (92D40) Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30)

Related Items (4)

A switching feedback control approach for persistence of managed resources ⋮ Stabilization by Adaptive Feedback Control for Positive Difference Equations with Applications in Pest Management ⋮ Persistence and stability for a class of forced positive nonlinear delay-differential systems ⋮ Dynamic observers for unknown populations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Persistence versus extinction for a class of discrete-time structured population models
• Sensitivity and elasticity analysis of a Lur'e system used to model a population subject to density-dependent reproduction
• Persistence and global stability for a class of discrete time structured population models
• Feedback control systems analysis of density dependent population dynamics
• Positive dynamical systems in discrete time. Theory, models and applications
• Stability and stabilization of nonlinear systems.
• Input to state stability and allied system properties
• Stability of higher-order discrete-time Lur'e systems
• Population dynamics with a refuge: fractal basins and the suppression of chaos
• Essays on the absolute stability theory
• Input-to-state stability of Lur'e systems
• Semi-global persistence and stability for a class of forced discrete-time population models
• Global asymptotic stability of density dependent integral population projection models
• Bounds on the dynamics of sink populations with noisy immigration
• Global stability of an age-structured population model
• Global asymptotic stability of plant-seed bank models
• Stability of NonNegative Lur'e Systems
• Persistence for stochastic difference equations: a mini-review
• Mathematical Systems Theory I
• Input-to-State Stability of Discrete-Time Lur'e Systems
• Stability and convergence properties of forced infinite-dimensional discrete-time Lur'e systems
• Persistence in Discrete Semidynamical Systems
• Smooth stabilization implies coprime factorization
• Dynamics of a population in two patches with dispersal
• Examples of GES Systems That can be Driven to Infinity by Arbitrarily Small Additive Decaying Exponentials
• The Circle Criterion and Input-to-State Stability
• Input-to-state stability for discrete-time nonlinear systems

This page was built for publication: Boundedness, persistence and stability for classes of forced difference equations arising in population ecology