Global stability of \(y_{n+1} =\frac {p+qy_{n}+ry_{n-k}}{1+y_{n}}\)

DOI10.1016/j.amc.2006.04.026zbMath1108.39011OpenAlexW114337589MaRDI QIDQ861153

Reza Mazrooei-Sebdani, Mehdi Dehghan

Publication date: 9 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.04.026

zbMATH Keywords

boundednessglobal asymptotic stabilityinvariant intervals

Mathematics Subject Classification ID

Related Items (5)

Dynamics and Bifurcation of A second Order Rational Difference Equation with Quadratic Terms ⋮ Dynamics of a higher-order nonlinear difference equation ⋮ Global stability of a rational difference equation ⋮ Dynamics of Kth Order Rational Difference Equation ⋮ On the dynamics of

Cites Work

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• Global stability of a deterministic model for HIV infection in vivo
• 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 \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\).
• 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
• 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
• On the recursive sequence
• On the Trichotomy Character of x n +1 =(α+β x n +γ x n −1 )/( A + x n )
• Non-autonomous homogeneous rational difference equations of degree one: convergence and monotone solutions for second and third order case
• Dynamics of a rational difference equation

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