The global attractivity of difference equations of nonincreasing nonlinearities with applications.

DOI10.1016/S0898-1221(03)00035-XzbMath1036.39008MaRDI QIDQ1416437

Hassan A. El-Morshedy

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

global attractivitydifference equationspositive equilibriumClark model

Mathematics Subject Classification ID

Related Items (17)

Boundedness of solutions and stability of certain second-order difference equation with quadratic term ⋮ New explicit global asymptotic stability criteria for higher order difference equations ⋮ Globally attracting fixed points in higher order discrete population models ⋮ Periodic points and stability in Clark's delayed recruitment model ⋮ Unnamed Item ⋮ Convergence to equilibria in discrete population models ⋮ Global attractivity in a population model with nonlinear death rate and distributed delays ⋮ Attractivity and global stability for linearizable difference equations ⋮ Global stability in difference equations satisfying the generalized Yorke condition ⋮ On explicit conditions for the asymptotic stability of linear higher order difference equations ⋮ Global asymptotical stability in a rational difference equation ⋮ Global attractors for difference equations dominated by one-dimensional maps ⋮ Global attractivity of the equilibrium of a difference equation: An elementary proof assisted by computer algebra system ⋮ Contracting invariant intervals and convergence properties of difference equations ⋮ Stability for a class of difference equations ⋮ New global stability conditions for a class of difference equations ⋮ Results and problems about solutions of perturbed Lyness' type orderkdifference equations in , with examples, and test of the efficiency of a quasi-Lyapunov function method

Cites Work

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• Theory of difference equations: Numerical methods and applications
• A delayed-recruitment model of population dynamics, with an application to baleen whale populations
• Global stability of \(x_{n+1}= A/x_n^p+ 1/x_{n-1}^{1/p}\)
• Global attractivity in a nonlinear difference equation
• The dynamics of some discrete population models
• Stable Orbits and Bifurcation of Maps of the Interval
• Global stability in a nonlinear difference equation
• On global stability in a nonlinear discrete model

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