Stability of a class of delay-difference equations

DOI10.1016/0362-546X(84)90009-9zbMath0539.39003OpenAlexW2002067698MaRDI QIDQ3326163

Michael E. Fisher

Publication date: 1984

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(84)90009-9

zbMATH Keywords

unique equilibriumlocal and global stabilityDelay-difference equationswhaling models

Mathematics Subject Classification ID

Related Items (11)

Monotone iterative methods for a general class of discrete boundary value problem ⋮ Global dynamics in a stage-structured discrete-time population model with harvesting ⋮ L.A.S. and negative Schwarzian derivative do not imply G.A.S. in Clark's equation ⋮ General permanence conditions for nonlinear difference equations of higher order ⋮ Globally attracting fixed points in higher order discrete population models ⋮ A class of nonlinear second order difference equations from macroeconomics ⋮ Periodic points and stability in Clark's delayed recruitment model ⋮ Clark's equation: a useful difference equation for population models, predictive control, and numerical approximations ⋮ An age-structured fish population model with coupled size and population density ⋮ Global attractors for difference equations dominated by one-dimensional maps ⋮ Boundedness and Stability for Higher Order Difference Equations^*

Cites Work

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• Some stability conditions for discrete-time single species models
• A delayed-recruitment model of population dynamics, with an application to baleen whale populations
• Stability in a class of discrete time models of interacting populations
• Simple mathematical models with very complicated dynamics

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