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| 非自治时滞三种群食物链系统正周期解的存在性 | |
| 引用本文： | 赵巍,谢丛波.非自治时滞三种群食物链系统正周期解的存在性[J].大连民族学院学报,2015,17(1):53-57. |
| 作者姓名： | 赵巍 谢丛波 |
| 作者单位： | 1.大连民族学院 理学院,辽宁 大连 116605; 2.大连理工大学 工业装备结构分析国家重点实验室工程力学系,辽宁 大连 116024; 3.东北师范大学 数学与统计学院,吉林 长春 130024 |
| 基金项目： | 中央高校基本科研业务费专项资金资助项目(DC12010310 |
| 摘 要： | 提出一类非自治三种群食物链捕食者-食饵模型,其可以看作是对DeAngelis-Bazykin模型的改进。基于重合度理论及其延拓定理,最终得到该非自治时滞系统正周期解存在的充分条件。 |
| 关 键 词： | 三种群 捕食者-食饵 时滞 重合度 周期解 |
Existence of Positive Periodic Solutions for Non-autonomous Three Species Food-chain System with Delays |
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| ZHAO Wei,XIE Cong-bo.Existence of Positive Periodic Solutions for Non-autonomous Three Species Food-chain System with Delays[J].Journal of Dalian Nationalities University,2015,17(1):53-57. | |
| Authors: | ZHAO Wei XIE Cong-bo |
| Institution: | 1.School of Science, Dalian Nationalities University, Dalian Liaoning 116605, China; 2.State KeyLaboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian Liaoning 116024, China; 3.School of Mathematics and Statistics, Northeast Normal University, Changchun Jilin 130024, China |
| Abstract: | A non-autonomous three species food-chain predator-prey model is proposed in this work, which can be regarded as the modification of DeAngelis-Bazykin system. In the context of a continuation theorem based on coincidence degree, sufficient conditions which guarantee the existence of positive periodic solutions of the non-autonomous system with delays are finally obtained. |
| Keywords: | three species predator-prey delay coincidence degree periodic solution |
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