一类非自治捕食系统的动力学行为  

Dynamics of the nonautonomous predator system

作　　者：陈新一[1] 

机构地区：[1]西北民族大学中国民族信息技术研究院,甘肃兰州730030

出　　处：《山东大学学报（理学版）》2013年第12期18-23,共6页Journal of Shandong University(Natural Science)

摘　　要：研究了一类非自治捕食系统的动力学行为。利用比较原理和构造适当的Lyapunov函数的方法得到了保证此系统持久性和全局渐近稳定性的充分条件,通过Brouwer不动点定理和伴随系统作Lyapunov函数的方法得到了正周期解和正概周期解的存在性和惟一性。推广了已有的结果。In this paper, the dynamics of a nonautonomous predator system are investigated. Some sufficient conditions which guarantee the permanence and the global asymptotic stability of the system are determined by using compare theo-ry and constructing a suitable Lyapunov function. For the periodic case and almost periodic case, by using Brouwer fixed point theorems and constructing Lyapunov function to adjoint system, existence and uniqueness of a positive peri-odic and almost periodic solution are obtained, which generalizes the known result.

关 键 词：非自治捕食系统 持久性 全局渐近稳定性 周期 概周期 

分 类 号：O175.7[理学—数学]