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具捕获项的比率依赖型食物链模型周期解的存在性
引用本文:孔晋华,曾志军. 具捕获项的比率依赖型食物链模型周期解的存在性[J]. 应用数学, 2011, 24(3)
作者姓名:孔晋华  曾志军
作者单位:东北师范大学数学与统计学院,吉林长春,130024
基金项目:教育部高等学校博士点基金(20090043120009); 国家大学生创新性实验计划项目(091020024)
摘    要:本文利用重合度理论的延拓定理及分析的技巧讨论了具有两个捕获项的比率依赖型食物链系统周期解的存在性问题,得到至少存在四个周期解的充分条件.

关 键 词:重合度  比率依赖型  捕获项  周期解

Existence of Periodic Solutions of a Ratio-dependent Food Chain Model with Exploited Terms
KONG Jinhua , ZENG Zhijun. Existence of Periodic Solutions of a Ratio-dependent Food Chain Model with Exploited Terms[J]. Mathematica Applicata, 2011, 24(3)
Authors:KONG Jinhua    ZENG Zhijun
Affiliation:KONG Jinhua,ZENG Zhijun(School of Mathematics and Statistics,Northeast Normal University,Changchun130024,China)
Abstract:By usingthe coincidence degree theory andthe related continuationtheorem,as well as some analysis techniques,weinvestigate the existence of positive periodic solutions of ratio-dependent food chain model withtwo exploitedterms.Some sufficient criteria are established for the existence of periodic solutions.
Keywords:Coincidence degree  Ratio-dependent  Exploited term  Periodic solution  
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