Gause捕食—被捕食模型的全局稳定性

Global Stability of Gause Predator Prey-model

用[1]的定性制图新法及[2]的定理对[3]的Gause捕食—被捕食模型的局部及全局定性作出一组定理，并以[4]的模型为例，减弱了[4]的假设（C），取消了[4]的较强的假设（d），（e），（f），（g），对[4]的模型的全局稳定性作出一个推论。

A set of new methds of qualitative nomography in [1] are ed to determine thelocal qualitative behavior of the Gause mode, and a theorem of its global stability is obtainedby [2]. In particular, the authors get a corollary as an example for revising and ed the as-sumptinn (c) and abolishing the strong assumptione (d), (e), (f), (g) in [4].