On the dynamics of \(x_{n+1}= \frac {\delta x-{n-2}+x_{n-3}}{A+x_{n-3}}\)

DOI10.1016/j.jmaa.2006.08.088zbMath1118.39001OpenAlexW1630177152MaRDI QIDQ879105

N. E. Zubov

Publication date: 4 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.08.088

zbMATH Keywords

convergencepositive solutionsglobal attractorglobal asymptotic stabilitybounded solutionpositive equilibriumrational difference equation

Mathematics Subject Classification ID

Related Items (7)

On the asymptotic character of a generalized rational difference equation ⋮ The periodicity and solutions of the rational difference equation with periodic coefficients ⋮ About the properties of a modified generalized Beverton-Holt equation in ecology models ⋮ Stability of equilibrium points of fractional difference equations with stochastic perturbations ⋮ The Neimark-Sacker bifurcation ofx_n+1=δx_n-2+x_n-3A+x_n-3 ⋮ Boundedness, attractivity, and stability of a rational difference equation with two periodic coefficients ⋮ When does periodicity destroy boundedness in rational equations?

Cites Work

• Unnamed Item
• Unnamed Item
• Open Problems and Conjectures
• Open Problems and Conjectures
• Open Problems and Conjectures
• On the boundedness character of rational equations, part 1
• On the boundedness character of rational equations, part 2
• Open Problems and Conjectures
• Progress report on the boundedness character of third-order rational equations
• A rational difference equation

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