Attractivity in a Delayed Three-species Ratio-dependent Predator-prey System without Dominating Instantaneous Negative Feedback  

作　　者：RuiXu Lan-sunChen M.A.J.Chaplain 

机构地区：[1]DepartmentofMathematics,MechanicalEngineeringCollege,Shijiazhuang050003,China [2]InstituteofMathematics,AcademyofMathematicsandSystemSciences,ChineseAcademyofSciences,Beijing100080,China [3]DepartmentofMathematics,UniversityofDundee,DundeeDD14HN,UK

出　　处：《Acta Mathematicae Applicatae Sinica》2003年第2期317-332,共16页应用数学学报（英文版）

基　　金：Supported by (Grant DMS-9803323).

摘　　要：Abstract A delayed three-species ratio-dependent predator-prey food-chain model without dominating instantaneous negative feedback is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are derived for the global attractivity of the positive equilibrium of the system.Abstract A delayed three-species ratio-dependent predator-prey food-chain model without dominating instantaneous negative feedback is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are derived for the global attractivity of the positive equilibrium of the system.

关 键 词：Keywords Time delay uniform persistence global attractivity 

分 类 号：Q141[生物学—生态学] O175.7[生物学—普通生物学]