Some characteristics of solutions of a class of rational difference equations

DOI10.1108/03684920810876981zbMath1176.39015OpenAlexW2071899762MaRDI QIDQ3639408

Reza Mazrooei-Sebdani, Mehdi Dehghan

Publication date: 30 October 2009

Published in: Kybernetes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03684920810876981

zbMATH Keywords

boundednesspositive solutionsperiodicityglobal stabilitypositive equilibriumsemicyclesrational difference equationscyberneticsstability (control theory)higher order nonlinear difference equation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)

Cites Work

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• Global stability of a deterministic model for HIV infection in vivo
• Bounds for solutions of a six-point partial-difference scheme
• Some results about the global attractivity of bounded solutions of difference equations with applications to periodic solutions
• Study of a system of non-linear difference equations arising in a deterministic model for HIV infection
• Dynamics of a non-linear difference equation
• Dynamics of a rational difference equation using both theoretical and computational approaches
• On the recursive sequence \(x_{n+1} = \frac {\alpha+\beta x_{n-k+1} +\gamma x_{n-2k+1}}{Bx_{n-k+1} + Cx_{n-2k+1}}\)

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