Abstract
In this article, we study the global stability and the asymptotic properties of the non-negative solutions of the non-linear difference equation:
where α, β, γ are positive integers, A, B, C, D are positive real numbers and the initial conditions x−p, x−p+1, …, x−1, x0 for p = max{α, β, γ} are arbitrary positive real numbers.
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Sanbo, A., Elsayed, E.M. & Alzahrani, F. Dynamics of the nonlinear rational difference equation \({x_{n + 1}} = {{A{x_{n - \alpha}}{x_{n - \beta}} + B{x_{n - \gamma}}} \over {C{x_{n - \alpha}}{x_{n - \beta}} + D{x_{n - \gamma}}}}\). Indian J Pure Appl Math 50, 385–401 (2019). https://doi.org/10.1007/s13226-019-0333-8
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DOI: https://doi.org/10.1007/s13226-019-0333-8