具功能反应的三种群捕食者——食饵系统数学模型稳定性的研究

Stability Research in Mathematical Model for Predator-prey System with Functional Responsc of Three Populations

[1]中提出了具有功能反应的三种群捕食者——食饵系统的两种模型(Ⅰ)、(Ⅱ),并给出了局部渐近稳定的条件。本文研究了另外两种模型(Ⅲ)和(Ⅳ)的局部渐近稳定的条件。

Two models(Ⅰ)and(Ⅱ)for predator-prey system with functional r(?)sponse of three populations were presented in[1], and the asymptotically stable conditions in the sense of Lyapunov were also given. This article considers the asymptotically stable conditions in the sense of Lyapunov of (Ⅲ) and (Ⅳ).