Abstract
In this paper, we study the equilibrium points, local asymptotic stability of equilibrium points, global behavior of equilibrium points, boundedness and periodicity of the rational recursive sequence w(n+1)=w(n-p) (alpha+beta(w)n/gamma w(n)+delta w(n-r), where gamma w(n)not equal-delta w(n-r) for r is an element of 0,infinity, alpha, beta, gamma, delta is an element of 0,infinity, and r>p >= 0. With initial values w-p,w-p+1, ... ,w(-r),w(-r+1), ... ,w(-1), and w(0) are positive real numbers. Some numerical examples are given to verify our theoretical results.