| 一类非自治两捕食者-两互惠食饵系统的持久性和稳定性 |
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| 引用本文： | 陈磊,张建勋. 一类非自治两捕食者-两互惠食饵系统的持久性和稳定性[J]. 宁波大学学报(理工版), 2012, 0(2): 63-67 |
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| 作者姓名： | 陈磊 张建勋 |
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| 作者单位： | 宁波大学理学院 |
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| 摘 要： | 研究了捕食者均具有Beddington-DeAngelis功能性反应的两捕食者-两互惠食饵系统.利用比较原理讨论了系统的一致持久性,并通过构造Liapunov函数,给出了系统全局渐进稳定的充分条件.此外,当系统的各系数为周期性时,得到了正周期解存在唯一且全局渐进稳定的充分条件.
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| 关 键 词： | 互惠性 捕食系统 功能反应 持久性 稳定性 |
Permanence and Stability of a Two-predator-and-two-cooperative-prey System |
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| CHEN Lei,ZHANG Jian-xun. Permanence and Stability of a Two-predator-and-two-cooperative-prey System[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 2012, 0(2): 63-67 |
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| Authors: | CHEN Lei ZHANG Jian-xun |
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| Affiliation: | (Faculty of Science,Ningbo University,Ningbo 315211,China) |
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| Abstract: | In this article,a two-predator-and-two-cooperative-prey model with Beddington-DeAngelis functional response for the predator is investigated.Using comparison theorem,the permanence of the system is obtained.Through constructing a Lyapunov function,the global asymptotic stability of the system is proved under some appropriate restraints.Further,for the periodic case,a set of sufficient conditions is presented,which guarantees the existence,uniqueness and global asymptotic stability of a positive periodic solution. |
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| Keywords: | mutualistic predator-prey system functional response permanence stability |
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