| 具有Beddington-DeAngelis型功能反应的捕食系统的稳定性分析 |
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| 作者单位： | ;1.新乡学院数学与信息科学学院;2.郑州大学数学与统计学院 |
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| 摘 要： | 研究了两类具有竞争关系的食饵种群被一类具有阶段结构和时滞的捕食者捕食,且具有Beddington-DeAngelis型功能反应的捕食系统.通过比较原理获得该系统持续生存和捕食者灭绝的充分条件,并且当系统为周期系统时,获得其正周期解存在性和全局稳定性的充分条件.
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| 关 键 词： | 阶段结构 时滞 竞争关系 持续生存 Beddington-DeAngelis型功能反应 |
Stability Analysis of a Predator-Prey System with Beddington-DeAngelis Functional Response |
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| Affiliation: | ,College of Mathematics and Information Science,Xinxiang University,College of Mathematics and Statistics,Zhengzhou University |
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| Abstract: | In this paper,apredator-prey system with Beddington-DeAngelis functional response consisting of two competitive prey population and a stage structure and delays for predator has been investigated.According to the comparative principle,some sufficient conditions are obtained for permanence of the system and extinction of predator,and some sufficient conditions are gotted for existence and global stability of positive periodic solution when this system turns out to be a periodic system. |
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| Keywords: | stage structure delay competitive persistence Beddington-DeAngelis functional response |
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