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

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.