应用数学2011,Vol.24Issue(1):30-39,10.
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
Multiple Positive Periodic Solutions of a Delayed Ratio-dependent Predator-prey Model with Functional Response and Impulse
摘要
Abstract
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Key words
Continuation theorem/Positive periodic solutions/Ratio-dependent/Nonmonotone functional response/Impulse分类
数理科学引用本文复制引用
邵远夫,戴斌祥..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[J].应用数学,2011,24(1):30-39,10.基金项目
Supported by National Natural Science Foundation of China (10971229), Doctoral Foundation of Guilin University of Technology (2010) and National Research Program of China (2007CB714107) (10971229)