非自治Lotka-Volterra型竞争系统的一些新结果

Some New Results of Nonautonomous Lotka-Volterra N-species Competitive Systems

研究一般非自治 Ｌｏｔｋａ－Ｖｏｌｔｅｒｒａ型 ｎ个种群相互竞争生态系统的定性性质．建立了关于一部分种群灭绝，而另一部分种群一致持续生存与全局渐近稳定的一系列新的判别准则．这些结果改进和推广了文献［２，３］中的主要结果。

In this paper, we study the qualitative properties of general nonautonomous Lotka-Volterra N-species competitive systems. Some new criteria for the extinction of a part of species and the uniform persistence and global asymptotical stability of other part of species are established. These results improve and extend the recent ones obtained by Montes de Oca and Zeeman in [2,3].