| 具有Beddington-Deangelis类功能反应的时滞食物链系统全局吸引性研究 |
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| 引用本文： | 程惠东,孟新柱,张伟伟. 具有Beddington-Deangelis类功能反应的时滞食物链系统全局吸引性研究[J]. 山东科技大学学报(自然科学版), 2007, 26(3): 102-105,109 |
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| 作者姓名： | 程惠东 孟新柱 张伟伟 |
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| 作者单位： | 山东科技大学,理学院,山东,青岛,266510;山东科技大学,理学院,山东,青岛,266510;山东科技大学,理学院,山东,青岛,266510 |
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| 基金项目： | 山东科技大学青年自然科学基金 |
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| 摘 要： | 研究了具有Beddington-Deangelis类功能反应的时滞食物链捕食者-食饵系统模型,得到了与时滞有关的系统永久持续生存的充分条件,同时通过构造Lyapunov函数得到了与时滞有关的系统全局渐近稳定的充分条件,是对文献结果的进一步推广和改进.
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| 关 键 词： | 永久持续生存 全局吸引性 Beddington-Deangelis类功能反应 时滞 |
| 文章编号： | 1672-3767（2007）03-0102-04 |
| 收稿时间： | 2007-01-31 |
| 修稿时间： | 2007-01-31 |
Globally Asymptotic Stability of Delayed Food Chain Systems with Beddington-Deangelis Type of Functional Response |
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| CHENG Hui-dong,MENG Xin-zhu,ZHANG Wei-wei. Globally Asymptotic Stability of Delayed Food Chain Systems with Beddington-Deangelis Type of Functional Response[J]. Journal of Shandong Univ of Sci and Technol: Nat Sci, 2007, 26(3): 102-105,109 |
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| Authors: | CHENG Hui-dong MENG Xin-zhu ZHANG Wei-wei |
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| Affiliation: | College of Sciences, SUST, Qingdao, Shandong 266510, China |
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| Abstract: | A bait system model of delayed food chain systems with Beddington Deangelis type of functional response is studied. Sufficient conditions are obtained for the permanently sustained survival of the system related to time delays. Moreover, by using Lyapunov function, some conditions for globally asymptotic stability of the system are investigated. The results improved and generalized the main results in literature . |
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| Keywords: | permanently sustained survival globally asymptotic stability Beddington-Deangelis type of functional response time delays. |
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