一类无时滞非自治Lotka-Volterra竞争子系统的灭绝性  

Extinction in a nonautonomous competitive Lotka-Volterra subsystem without delay

作　　者：程晓华[1] 李必文[1] 宋燕来[1] 

机构地区：[1]湖北师范学院数学与统计学院,湖北黄石435002

出　　处：《湖北师范学院学报（自然科学版）》2011年第1期73-77,共5页Journal of Hubei Normal University(Natural Science)

基　　金：湖北省教育厅青年基金资助项目(Q200722001);湖北省教育厅优秀创新团队资助项目;湖北省自然科学基金项目(2007ABA124)

摘　　要：讨论了一类无时滞非自治Lotka-Volterra竞争子系统,在一定条件下得到了一种群xi(t)(l=r+1,…,n)随着时间增加趋于灭绝的充分条件,通过构造Lyapunov函数证明了相应的结论,推广了相关文献的一些结果。A nonautonomous competitive Lotka-Volterra subsystem without delay is considered in this work.Sufficient conditions on the coefficients are given by certain conditions to guarantee that all but one of the species are driven to extinction.The corresponding conclusion is proved by constructing proper Lyapunov function.It is shown that some results of the related literature have been extended.

关 键 词：Lotka-Volterra子系统 非自治 灭绝性 竞争 全局吸引 

分 类 号：O175.4[理学—数学]