| 具时滞的比率型三种群捕食系统的全局渐近稳定性 |
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| 引用本文： | 黄建科,吴筱宁.具时滞的比率型三种群捕食系统的全局渐近稳定性[J].海军工程大学学报,2008,20(1):7-11. |
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| 作者姓名： | 黄建科 吴筱宁 |
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| 作者单位： | 西安陆军学院军事运筹教研室,西安,710108 |
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| 基金项目： | 国家自然科学基金资助项目(10071048) |
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| 摘 要： | 研究了一类具有时滞的比率型三种群捕食者-食饵系统,给出了系统持续生存的条件。通过构造Lyapunov泛函的方法得到了该系统正平衡态全局渐近稳定的充分条件。
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| 关 键 词： | 时滞 比率型 捕食系统 持续生存 全局渐近稳定性 |
| 文章编号： | 1009-3486(2008)01-0007-05 |
| 修稿时间： | 2007年9月20日 |
Global asymptotic stability for three-species ratio-dependent predator-prey system with time delays |
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| HUANG Jian-ke,WU Xiao-ning.Global asymptotic stability for three-species ratio-dependent predator-prey system with time delays[J].Journal of Naval University of Engineering,2008,20(1):7-11. |
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| Authors: | HUANG Jian-ke WU Xiao-ning |
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| Abstract: | A three-species ratio-dependent predator-prey system with time delays was investigated,and conditions were given for persistence of the system.By working out a suitable Lyapunov functional method,sufficient conditions were derived for the global asymptotic stability of the positive equilibrium of the system. |
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| Keywords: | time delay ratio-dependent predatorprey system persistence global asymptotic stability |
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