| 具有阶段结构和比率依赖的三种群混合模型的周期解 |
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| 引用本文： | 赵宏伟,王永曦,王锐.具有阶段结构和比率依赖的三种群混合模型的周期解[J].东北师大学报(自然科学版),2009,41(4). |
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| 作者姓名： | 赵宏伟 王永曦 王锐 |
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| 作者单位： | 1. 北华大学数学学院,吉林,吉林,132013
2. 清华大学理学院,北京,100084 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 利用重合度理论中的延拓定理,讨论了一类捕食者具有阶段结构和比率型功能性反应的三种群混合模型的全局正周期解的存在性,得到了保证周期解存在的充分条件,获得了一些新结果.
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| 关 键 词： | 混合模型 比率依赖 阶段结构 重合度理论 正周期解 |
Periodic solution of mixed model of three species with ratio-dependence and stage-structure |
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| ZHAO Hong-wei,WANG Yong-xi,WANG Rui.Periodic solution of mixed model of three species with ratio-dependence and stage-structure[J].Journal of Northeast Normal University (Natural Science Edition),2009,41(4). |
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| Authors: | ZHAO Hong-wei WANG Yong-xi WANG Rui |
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| Institution: | ZHAO Hong-wei1,WANG Yong-xi2,WANG Rui2(1.College of Mathematics,Beihua University,Jilin 132013,China,2.School of Sciences,Tsinghua University,Beijing 100084,3.College of Mathematics,Jilin University,Changchun 130012,China) |
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| Abstract: | By using a continuation theorem based on Gaines and Mawhin's coincidence degree,this paper studies the global existence of positive periodic solutions of a mixed model of three species with ratio-dependence and stage-structure for predator.A set of easily verifiable sufficient conditions are obtained,which improve some known results.Some new results obtained. |
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| Keywords: | mixed model ratio-dependence stage-structure coincidence degree theory positive periodic solution |
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