Peer-Reviewed Article April 7, 2013
Dynamics of a discrete Lotka-Volterra model
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Published in: Advances in Difference Equations
Publisher: Springer Nature • Egypt • 1687-1839
Abstract
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 where parameters , and initial conditions , 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.