Global Stability of a Predator-prey Model with Stage Structure  

一类具有阶段结构的捕食-被捕食模型的全局稳定性（英文）

作　　者：王丽丽 徐瑞 

机构地区：[1]Institute of Applied Mathematics, Mechanical Engineering College

出　　处：《Chinese Quarterly Journal of Mathematics》2015年第1期107-120,共14页数学季刊（英文版）

基　　金：Supported by the NSFC(11371368);Supported by the Basic Courses Department of OEC Foundation(Jcky1302)

摘　　要：A Holling type III predator-prey model with stage structure for prey is investi-gated. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria of the system is discussed. By using the uniformly persistence theory, the system is proven to be permanent if the coexistence equilibrium exists. By using Lyapunov functionals and LaSalle’s invariance principle, it is shown that the two boundary equilibria is globally asymptotically stable when the coexistence equilibrium is not feasible. By using compound matrix theory, the sucient conditions are obtained for the global stability of the coexistence equilibrium. At last, numerical simulations are carried out to illustrate the main results.

关 键 词：global stability stage structure predator-prey model PERMANENCE 

分 类 号：O175.13[理学—数学]