✦ LIBER ✦

On the difference equation xn+1=α+βxn−1e−xn

✍ Scribed by H. El-Metwally; E.A. Grove; G. Ladas; R. Levins; M. Radin

No coin nor oath required. For personal study only.

✦ Synopsis

We study the global stability, the boundedness nature, and the periodic character of the positive solutions of the difference equation

[
x_{n+1}=\alpha+\beta x_{n-1} e^{-x_{n}} \quad, \quad n=0,1, \ldots
]

which is interesting in its own right, but which may also be viewed as describing a population model.

📜 SIMILAR VOLUMES

Global Attractivity of xn+1 = )1 − α)xn

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