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| 一类基于比率的捕食者-食饵系统的周期解 | |
| 引用本文： | 刘振杰. 一类基于比率的捕食者-食饵系统的周期解[J]. 哈尔滨商业大学学报(自然科学版), 2007, 23(3): 382-384 |
| 作者姓名： | 刘振杰 |
| 作者单位： | 哈尔滨学院,数学与计算机学院,哈尔滨,150080 |
| 基金项目： | 黑龙江省教育厅科学技术研究项目 |
| 摘 要： | 研究一类非自治的具有时滞和基于比率且有Beddington-DeAngelis功能性反应的两种群捕食者-食饵周期系统,利用Mawhin重合度理论建立了这类系统的正周期解存在的一个充分性判据. |
| 关 键 词： | 时滞 Beddington-DeAngelis功能性反应 周期解 重合度 |
| 文章编号： | 1672-0946（2007）03-0382-03 |
| 收稿时间： | 2006-06-29 |
| 修稿时间： | 2006-06-29 |
Periodic solution for delayed and ratio-dependent predator-prey system |
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| LIU Zhen-jie. Periodic solution for delayed and ratio-dependent predator-prey system[J]. Journal of Harbin University of Commerce :Natural Sciences Edition, 2007, 23(3): 382-384 | |
| Authors: | LIU Zhen-jie |
| Affiliation: | Department of Mathematics, Harbin College, Harbin 150080,China |
| Abstract: | In this paper,a class of predator-prey system with delayed and ratio-dependent is studied.By using the continuation theorem based on coincidence degree theory,establishes the existence result of positive periodic solution for the periodic predator-prey system with Beddington-DeAngelis functional response.A sufficient condition is derived about it. |
| Keywords: | time-delay Beddington-DeAngelis functional response periodic solution coincidence degree |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |