Permanence and global attractivity of stage-structured predator-prey model with continuous harvesting on predator and impulsive stocking on prey  

作　　者：焦建军 陈兰荪 Juan J.Nieto Torres Angela 

机构地区：[1]School of Mathematics and Statistics,Guizhou College of Finance and Economics [2]Department of Applied Mathematics,Dalian University of Technology [3]Department of Mathematical Analysis,Faculty of Mathematics,University of Santiago de Compostela,15782 Santiago de Compostela Spain [4]Department of Psychiatry,Radiology and Public Health Faculty of Medicine University of Santiago de Compostela,Spain

出　　处：《Applied Mathematics and Mechanics(English Edition)》2008年第5期653-663,共11页应用数学和力学（英文版）

基　　金：the National Natural Science Foundation of China(No.10771179);the Emphasis Subject of Guizhou Province of China

摘　　要：We investigate a stage-structured delayed predator-prey model with impulsive stocking on prey and continuous harvesting on predator. According to the fact of biological resource management, we improve the assumption of a predator-prey model with stage structure for predator population that each individual predator has the same ability to capture prey. It is assumed that the immature and mature individuals of the predator population are divided by a fixed age, and immature predator population does not have the ability to attach prey. Sufficient conditions are obtained, which guarantee the global attractivity of predator-extinction periodic solution and the permanence of the system. Our results show that the behavior of impulsive stocking on prey plays an important role for the permanence of the system, and provide tactical basis for the biological resource management. Numerical analysis is presented to illuminate the dynamics of the system.We investigate a stage-structured delayed predator-prey model with impulsive stocking on prey and continuous harvesting on predator. According to the fact of biological resource management, we improve the assumption of a predator-prey model with stage structure for predator population that each individual predator has the same ability to capture prey. It is assumed that the immature and mature individuals of the predator population are divided by a fixed age, and immature predator population does not have the ability to attach prey. Sufficient conditions are obtained, which guarantee the global attractivity of predator-extinction periodic solution and the permanence of the system. Our results show that the behavior of impulsive stocking on prey plays an important role for the permanence of the system, and provide tactical basis for the biological resource management. Numerical analysis is presented to illuminate the dynamics of the system.

关 键 词：stage-structured  impulsive stocking continuous harvesting global attractivity PERMANENCE 

分 类 号：O175[理学—数学]