摘要
建立了一类非自治差分竞争系统,通过运用差分方程理论、Brouwer定理和Lyapunov函数方法,分别获得了系统的持久性、正周期解的存在性和全局渐近稳定性的充分条件.
In this paper, a nonautonomous difference competitive system is established. By using the difference equation theory, Brouwer fixed point theorem and Lyapunov function, sufficient conditions are obtained for the permanence of system, the existence and global asymptotic stability of positive periodic solutions of system.
出处
《湖北民族学院学报（自然科学版）》
CAS
2013年第3期267-270,共4页
Journal of Hubei Minzu University(Natural Science Edition)
基金
教育部重点项目(212111)
关键词
非自治差分竞争系统
持久性
正周期解
全局渐近稳定性
nonautonomous difference competitive system, permanence
positive periodic solution
globalasymptotic stability
