基于时滞比率依赖型食饵模型多个周期解的新结论(英文)  

New Result on the Multiplicity of Periodic Solutions for a Ratio-dependent Predator-prey Model with Delays

作　　者：丁敏敏[1] 王奇[1] 王志杰[1] 张洪彦[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《应用数学》2012年第4期738-745,744-745,共8页Mathematica Applicata

基　　金：Supported by the NSF of Anhui Provincial (090416237, 1208085MA13);the Research Fund for the Doctoral Program of Higher Education (20103401120002 , 20113401120001);the 211 Project of Anhui University (02303129 , KJTD002B , 02303303-3303011 , 02303902-39020011);the Foundation of Anhui Education Bureau (KJ2009A49 , KJ2012A019)

摘　　要：本文主要研究一类具时滞的比率依赖型食饵模型,运用重合度理论的广义延拓定理,得到至少两个正周期解,这表明时滞影响周期解的存在性,文中对最近一些文献的结果进行了推广.using the ence of at istence of ：In this paper,a ratio-dependent predator-prey model with time delays is investigated. By generalized continuation theorem of coincidence degree theory, a new result of the exist- least two positive periodic solutions is obtained,which shows the delays in fluence the ex positive periodic solutions.

关 键 词：食饵模型 时滞 正周期解 广义延拓定理 

分 类 号：O175.1[理学—数学]