In this paper, we investigate the persistence and global asymptotic stability of a discrete predator-prey system. Based on Lyapunov functions, several criteria are established concerning the persistence and globally asymptotic stability of difference systems.
In this paper, we study the existence and stability of an equilibrium of discrete-time Cohen-Grossberg BAM Neural Networks with delays. We obtain several sufficient conditions ensuring the existence and stability of an equilibrium of such systems, using discrete Halanay-type inequality and vector Lyapunov methods. In addition, we show that the proposed sufficient condition is independent of the delay parameter. An example is given to demonstrate the effectiveness of the results obtained.
Zhao Yong (School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100191) Xia Yonghui (College of Math. and Computer Science, Fuzhou University, Fuzhou 350002)
