Global Attractivity of xn+1 = )1 − α)xn + βe−γxn−k
✍ Scribed by Manjun Ma; Jianshe Yu
- Book ID
- 104007604
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 241 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0898-1221
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📜 SIMILAR VOLUMES
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 popula
In this paper we investigate the global asymptotic stability of the recursive , n s 0, 1, . . . , where ␣, , ␥ G 0. We show that the unique positive equilibrium point of the equation is a global attractor with a basin that depends on the conditions posed on the coefficients.