摘要
提出了一个具有时滞的非自治差分竞争系统.分别利用差分不等式及Lyapunov离散函数技巧,得到了系统永久持续生存和正解全局吸引的充分条件.数值模拟验证了理论结果的正确性.
A non-autonomous discrete competitive system with delays is proposed. By using the method of difference inequality and Lyapunov-like discrete function,sufficient conditions for the permanence of system and global attractivity of positive solutions of system are de(?)ved,respectively.Numerical simulations are presented to substantiate the analytical results.
出处
《生物数学学报》
CSCD
北大核心
2010年第3期411-424,共14页
Journal of Biomathematics
基金
The work is supported by the Key Project of Chinese Ministry of Education(No.210 134)
the Innovation Term of Educational Department of Hubei Province of China (No.T200804)
the Innovation Term of Hubei University for Nationalities(No.MY20 09T001)
the Fund of Cultivating Excellent Master Dissertation of Hubei University for Nationalities.
关键词
差分竞争系统
永久持续生存
全局吸引
正解
时滞
Discrete competitive system
Permanence
Global attractivity
Positive solution
Delay