具有阶段结构的捕食系统的全局渐近稳定性
Globally asymptotic stability of predator-prey systems with stage structure

研究一类捕食者与食饵均具有阶段结构的捕食模型的稳定性. 通过分析模型的特征根，得到了非负平衡点局部稳定性的条件. 利用比较定理、迭代方法等性质证明了非负平衡点的全局渐近稳定性. 并举实例说明所得结果的有效性.
The stability of a kind of predator-prey models with stage structure for both predators and preys is considered in this paper. By analyzing the characteristic roots of the models，the conditions of local stability for nonnegative equilibrium are derived. By the comparison theorem and iteration method，we prove that nonnegative equilibrium of the models are globally asymptotic stable. An example is given to illustrate the effectiveness of our results