In:
Discrete Dynamics in Nature and Society, Hindawi Limited, Vol. 2010 ( 2010), p. 1-10
Abstract:
We study the global asymptotic stability of the equilibrium point for the fractional difference equation x n + 1 = ( a x n - l x n - k ) / ( α + b x n - s + c x n - t ) , n = 0,1 , … , where the initial conditions x - r , x - r + 1 , … , x 1 , x 0 are arbitrary positive real numbers of the interval ( 0 , α / 2 a ) , l , k , s , t are nonnegative integers, r = max { l , k , s , t } and α , a , b , c are positive constants. Moreover, some numerical simulations are given to illustrate our results.
Type of Medium:
Online Resource
ISSN:
1026-0226
,
1607-887X
Language:
English
Publisher:
Hindawi Limited
Publication Date:
2010
detail.hit.zdb_id:
2033014-5
SSG:
11
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