两类非耗散系统的弱持久性

The Criterions for Two Kinds Non Dissiptive System's Weak Persistence

利用Ｐｅｒｒｏｎ－Ｆｒｏｂｅｎｕｉｓ定理及定性理论，讨论了环状捕食－被捕食模型及文［１］中提出的一类食物链模型为非耗散系统的条件及模型为非耗散系统时的弱持久性问题，得到其弱持久的判别准则，解决了文［１］提出的问题．

In the paper, Predator prey model and food chain model introduced in [1] were discussed by Person-Froenuis theorem and theory of stability, obtained the criterions for those models are dissiptive system and weak persistence at the same time.