Title

On the trichotomy character of Xn+1 = (α + βXn + γXn-1)/(A + Xn)

Document Type

Article

Date of Original Version

1-1-2002

Abstract

We show that the equation in the title with nonnegative parameters and nonnegative initial conditions exhibits a trichotomy character concerning periodicity, convergence, and boundedness which depends on whether the parameter γ is equal, less, or greater than the sum of the parameters β and A.

Publication Title

Journal of Difference Equations and Applications

Volume

8

Issue

1

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