摘要
本文讨论了含有两个种群的一类渐近周期的生态模型,并证明了在适当的条件下该模型的所有解都将趋向于模型所渐近的周期系统的唯一的全局渐近稳定的正周期解,即在该条件下此渐近周期系统中所有种群是持久生存的。
This paper discussed a kind of asymptotically periodical system, which has two species and diffusion in it, and drew the conclusion that the asymptotically periodical system discussed has the same persistent property with the periodical system which it asymptotic to, and also the all solutions will asymptotic to the unique globally asymptotically periodical solution of the periodcal system.
关键词
渐近周期系统
正周期解
全局渐近稳定
持久性
Asymptotically periodical system
Positive periodical solution
Globally asyrnptotically stabity, Persistence.