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摘要
We study the global asymptotic stability of the equilibrium point for the fractional difference equation x(n+1) = (ax(n-l)x(n-k))/(alpha + bx(n-s) + cx(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, alpha/2 alpha), l, k, s, t are nonnegative integers, r = max{l, k, s, t} and alpha, a, b, c are positive constants. Moreover, some numerical simulations are given to illustrate our results.
