| 具Holling功能性反应的三种群食物链系统的多个周期解的存在性 |
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| 引用本文： | 李辉,程荣福,王艺霏.具Holling功能性反应的三种群食物链系统的多个周期解的存在性[J].北华大学学报(自然科学版),2012,13(3):249-254. |
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| 作者姓名： | 李辉 程荣福 王艺霏 |
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| 作者单位： | 北华大学数学学院,吉林吉林,132033;北华大学数学学院,吉林吉林,132033;北华大学数学学院,吉林吉林,132033 |
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| 基金项目： | 吉林省教育厅科研基金项目 |
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| 摘 要： | 研究了一类食饵具有Smith增长和捕食者具有Holling功能性反应的三种群食物链系统多周期正解的存在性问题.运用分析技巧获得了两个有界开集,由重合度理论中的延拓定理得到至少存在两个周期正解的充分条件,推广改进了已知的相关结果.
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| 关 键 词： | 食物链系统 Smith增长 Holling功能性反应 多周期解 重合度 |
Existence of Multiple Periodic Solutions of Three Species Food Chain System with Holling Functional Response |
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| LI Hui,CHENG Rong-fu,WANG Yi-fei.Existence of Multiple Periodic Solutions of Three Species Food Chain System with Holling Functional Response[J].Journal of Beihua University(Natural Science),2012,13(3):249-254. |
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| Authors: | LI Hui CHENG Rong-fu WANG Yi-fei |
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| Institution: | (Mathematics School of Beihua University,Jilin 132033,China) |
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| Abstract: | The existence of multiple positive periodic solutions for a predator-prey system with Holling functional response for predator and Smith growth for prey is studied.Two bounded open sets are obtained by using analytic technique.By means of the continuation theorem based on coincidence degree theory,a set of sufficient conditions for this system to have at least two positive periodic solutions is obtained.Some known results are improved. |
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| Keywords: | food chain system Smith growth Holling functional response multiple periodic solutions coincidence degree |
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