一类含功能反应与脉冲的时滞比率依赖捕食-食饵模型的多重正周期解(英文)  

Multiple Positive Periodic Solutions of a Delayed Ratio-dependent Predator-prey Model with Functional Response and Impulse

作　　者：邵远夫[1,2] 戴斌祥[1] 

机构地区：[1]桂林理工大学理学院,广西桂林541004 [2]中南大学数学科学与计算技术学院,湖南长沙410075

出　　处：《应用数学》2011年第1期30-39,共10页Mathematica Applicata

基　　金：Supported by National Natural Science Foundation of China (10971229);Doctoral Foundation of Guilin University of Technology (2010);National Research Program of China(2007CB714107)

摘　　要：运用Mawhin连续定理,讨论得到了一类含非单调功能反应与脉冲的时滞比率依赖捕食-食饵模型存在多重正周期解的充分条件,所得结果推广并改进了一些已有结果.By using Mawhin continuation theorem, we establish the sufficient conditions ensuring the existence of multiple positive periodic solutions of a delayed ratio-dependent predator-prey model with nonmonotone functional response and impulse. Particularly,our results generalize and improve some previously known criteria.

关 键 词：连续定理 正周期解 比率依赖 非单调功能反应 脉冲 

分 类 号：O175[理学—数学]