Dynamics of the Nonlinear Rational Difference Equation Xn+1 = AXn + BXn−k + (pXn+Xn−k) / (q+Xn-k)
Keywords:
Difference equations, Prime period two solution, Locally asymptotically stable, Global attractor, Global stabilityAbstract
In this article, we study the global stabitity and the asymptotic properties of the nonnegative solutions of the nonlinear di
Xn+1 = AXn + BXn−k + (pXn + Xn−k) / (q + Xn−k) , n = 0, 1, 2, .....
where the parameters
A, B, p, q and the initial conditions x−k,..., x−1, x0 are arbitrary nonnegative real numbers, while k is a positive integer number. Some numerical examples will be given to illustrate our results.fference equationDownloads
Published
2010-04-09
Issue
Section
Nonlinear Analysis
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How to Cite
Dynamics of the Nonlinear Rational Difference Equation Xn+1 = AXn + BXn−k + (pXn+Xn−k) / (q+Xn-k). (2010). European Journal of Pure and Applied Mathematics, 3(2), 254-268. https://ejpam.com/index.php/ejpam/article/view/447