This study deals with the persistence and global stability of the prey - predator model with stagestructure. By applying comparison theorem and constructing suitable Lyapuniv function, the sufficient conditions are obtained for the persistence of the mode%研究了一类具有时滞捕食模型的正解持久性和全局渐近稳定性问题.通过利用比较原理和构造Lyapunov函数方法得到该模型的一致持久性的充分条件及全局渐近稳定性的充分条件.
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