Periodic Solutions of a Delayed Predator-Prey Model with Stage Structure for Prey  

作　　者：RuiXu Lan-sunChent Fei-longHao 

机构地区：[1]DepartmentofMathematics,InstituteofShijiazhuangMechanicalEngineering,Shijiazhuang050003,China [2]AcademyofMathematicsandSystemsScience,CAS,Beijing100080,China

出　　处：《Acta Mathematicae Applicatae Sinica》2004年第2期323-332,共10页应用数学学报（英文版）

摘　　要：A periodic predator-prey model with stage structure for prey and time delays due to negative feed-back and gestation of predator is proposed.By using Gaines and Mawhin's continuation theorem of coincidencedegree theory,sufficient conditions are derived for the existence of positive periodic solutions to the proposedmodel.Numerical simulations are presented to illustrate the feasibility of our main result.A periodic predator-prey model with stage structure for prey and time delays due to negative feed-back and gestation of predator is proposed.By using Gaines and Mawhin's continuation theorem of coincidencedegree theory,sufficient conditions are derived for the existence of positive periodic solutions to the proposedmodel.Numerical simulations are presented to illustrate the feasibility of our main result.

关 键 词：Stage structure predator-prey model time delay periodic solution 

分 类 号：O243[理学—计算数学]