| 周期捕食与被捕食系统正周期解的稳定性 |
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| 引用本文： | 滕志东,俞元洪.周期捕食与被捕食系统正周期解的稳定性[J].应用数学学报,1998,21(4):589-596. |
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| 作者姓名： | 滕志东 俞元洪 |
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| 作者单位： | [1]新疆大学数学系 [2]中国科学院应用数学研究所 |
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| 摘 要： | 本文研究具周期系数的Ｌｏｔｋａ－Ｖｏｌｔｅｒｒａ捕食与被捕食系统，建立了系统正周期解渐近稳定和全局稳定的新的判别准则。
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| 关 键 词： | 正周期解 稳定性 捕食被捕食系统 L－V系统 |
THE STABILITY OF POSITIVE PERIODIC SOLUTION FOR PERIODIC PREDATOR-PREY SYSTEMS |
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| TENG ZHIDONG.THE STABILITY OF POSITIVE PERIODIC SOLUTION FOR PERIODIC PREDATOR-PREY SYSTEMS[J].Acta Mathematicae Applicatae Sinica,1998,21(4):589-596. |
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| Authors: | TENG ZHIDONG |
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| Abstract: | In this paper the periodic Lotka-Volterra predator-prey systems are studied.The new criteria of locally and globally asymptotic stability for positive periodic solution are established. |
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| Keywords: | Predator-prey Lotka-Volterra system positive periodic solution stability topological degree Liapunov's function |
| 本文献已被 CNKI 维普 等数据库收录！ |
