Dynamics of a higher-order rational difference equation

DOI10.1016/j.amc.2005.11.059zbMath1106.39005OpenAlexW2029878468MaRDI QIDQ2507828

Reza Mazrooei-Sebdani, Mehdi Dehghan

Publication date: 5 October 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.11.059

zbMATH Keywords

boundednesspositive solutionglobal asymptotic stabilitylocal asymptotic stabilitysemicycle behavior

Mathematics Subject Classification ID

Related Items (5)

On the global behavior of a high-order rational difference equation ⋮ Stability and periodic character of a third order difference equation ⋮ Dynamics of Kth Order Rational Difference Equation ⋮ Dynamics of a rational difference equation ⋮ Global asymptotical stability in a rational difference equation

Cites Work

• A delayed-recruitment model of population dynamics, with an application to baleen whale populations
• The asymptotic stability of \(x_{n+1}-ax_ n+bx_{n-k}=0\)
• Bounds for solutions of a six-point partial-difference scheme
• Global behavior of \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\).
• On rational recursive sequences
• Study of a system of non-linear difference equations arising in a deterministic model for HIV infection
• On the global behavior of higher order recursive sequences
• The qualitative behavior of solutions of a nonlinear difference equation
• Dynamics of a rational difference equation using both theoretical and computational approaches
• Oscillations and global attractivity in a discrete delay logistic model
• Global attractivity in a nonlinear second‐order difference equation
• Dynamics of a rational difference equation
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Dynamics of a higher-order rational difference equation