摘要：In this paper, we study the equilibrium points, local asymptotic stability of equilibrium points, and global behavior of equilibrium points of a discrete Lotka-Volterra model given by x n + 1 = α x n − β x n y n 1 + γ x n , y n + 1 = δ y n + ϵ x n y n 1 + η y n , where parameters α , β , γ , δ , ϵ , η ∈ R + , and initial conditions x 0 , y 0 are positive real numbers. Moreover, the rate of convergence of a solution that converges to the unique positive equilibrium point is discussed. Some numerical examples are given to verify our theoretical results. MSC:39A10, 40A05.
关键词：difference equations ; equilibrium points ; local stability ; global character
