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研究了具Holling IV功能反应的捕食与被捕食模型, 讨论了系统的有界性.采用Routh-Hurwitz判别法得到正平衡点局部渐近稳定性的充分条件, 同时通过构建李亚普洛夫函数得到正平衡点全局渐近稳定性的条件.“,”We consider a predator-prey system model with hollings type IV functional response, and study the boundedness of solutions.We get a sufficient condition of local stability of positive equilibrium by applying Routh-Hurwitz criteria.At the same time, we consider the globally asymptotical stability of positive equilibrium by constructing Lyapunov function.