Optimal Harvesting and Stability for a Predator-prey System with Stage Structure

作     者：Xin-yu Song, Lan-sun ChenDepartment of Mathematics. Xinyang Teachers College, Henan 464000, ChinaInstitute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing100080, China 

作者机构：Department of Mathematics Xinyang Teachers College Henan China Institute of Mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2002年第18卷第3期

页      面：423-430页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：the National Natural Science Foundation of China (No.10171106) the Natural Science Foundation of Henan Province (No.0211010400) 

主　　题：Optimal harvesting stage structure predator-prey system global asymptotic stability 

摘      要：The dynamics of a predator-prey system, where prey population has two stages, an immature stage and a mature stage with harvesting, the growth of predator population is of Lotka-Volterra nature, are modelled by a system of retarded functional differential equations. We obtain conditions for global asymptotic stability of three nonnegative equilibria and a threshold of harvesting for the mature prey population. The effect of delay on the population at positive equilibrium and the optimal harvesting of the mature prey population are also considered.