Periodic points and stability in Clark's delayed recruitment model

DOI10.1016/j.nonrwa.2006.12.009zbMath1140.39307OpenAlexW2111519671MaRDI QIDQ933543

Hassan A. El-Morshedy, Eduardo Liz, Víctor Jiménez Lopéz

Publication date: 21 July 2008

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2006.12.009

zbMATH Keywords

stabilitybifurcation analysisattracting cycleClark's modeldelayed discrete population modelRicker oscillation

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Global dynamics in a stage-structured discrete-time population model with harvesting ⋮ Asymptotic behaviour of nonlinear difference equations ⋮ L.A.S. and negative Schwarzian derivative do not imply G.A.S. in Clark's equation ⋮ Boundedness of solutions of difference systems with delays ⋮ On bifurcations of delay single species discrete time population models ⋮ PBC-based pulse stabilization of periodic orbits ⋮ Clark's equation: a useful difference equation for population models, predictive control, and numerical approximations ⋮ New global stability conditions for a class of difference equations ⋮ Global stabilization of fixed points using predictive control

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