文章基本信息

标题：Dynamics of a discrete Lotka-Volterra model
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作者：Qamar Din
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：95
DOI：10.1186/1687-1847-2013-95
语种：English
出版社：Hindawi Publishing Corporation
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