| 一类捕食与被捕食系统的正解与持久性 |
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| 引用本文： | 曾华东,马满军,曾繁盛.一类捕食与被捕食系统的正解与持久性[J].湖南文理学院学报(自然科学版),2011(2):1-4. |
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| 作者姓名： | 曾华东 马满军 曾繁盛 |
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| 作者单位： | 南华大学数理学院;江西省兴国县梅窖中学; |
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| 摘 要： | 利用泛函微分方程正解的比较原理、上下极限原理及分析技巧,研究了一类具Beddington-DeAngelis型功能反应的捕食-被捕食系统,获得该系统正解的存在性以及该系统持久性的充分条件.
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| 关 键 词： | 比较原理 Beddington-DeAngelis型功能反应 持久性 |
Positive solutions and permanence of a class of predator-prey system |
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| ZENG Hua-dong,MA Man-jun,ZENG Fan-sheng.Positive solutions and permanence of a class of predator-prey system[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2011(2):1-4. |
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| Authors: | ZENG Hua-dong MA Man-jun ZENG Fan-sheng |
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| Institution: | ZENG Hua-dong1,2,MA Man-jun1,ZENG Fan-sheng2(1.School of Mathematics and Physics,University of South China,Hengyang 421001,China,2.Meijiao Middle School,Ganzhou 342432,China) |
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| Abstract: | This paper studied a class of predator-prey models with Beddington-DeAngelis functional response by applying the comparison principle for positive solutions of functional differential equations,supper and lower limit principle and analytical techniques.Existence of positive solutions and sufficient conditions for the permanence of this system are obtained. |
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| Keywords: | comparison principles Beddington-DeAngelis functional response permanence |
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