| 一类捕食系统极限环惟一性定理及其应用 |
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| 引用本文： | 樊永红,权宏顺.一类捕食系统极限环惟一性定理及其应用[J].兰州大学学报(自然科学版),2000,36(6):6-12. |
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| 作者姓名： | 樊永红 权宏顺 |
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| 作者单位： | 兰州大学,数学系,甘肃,兰州,730000 |
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| 摘 要： | 对一类捕食—食饵系统(1)在较为一般的情形下进行了定性分析,通过比较两相邻极限环上发散量积分的方法，获得了系统(1)存在惟一稳定极限环的一个充分条件．该定理较之著名的张芷芬惟一性定理，减弱了判别条件，并且利用文章中证明的方法可以减弱丁荪红惟一性定理的条件．文章中的结果是新的，有较强的应用背景．
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| 关 键 词： | 捕食—食饵系统 极限环 发散量积分 |
The Uniqueness Theorem of Limit Cycle for a Prey-predator System and Its Application |
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| Fan Yonghong,Quan Hongshun.The Uniqueness Theorem of Limit Cycle for a Prey-predator System and Its Application[J].Journal of Lanzhou University(Natural Science),2000,36(6):6-12. |
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| Authors: | Fan Yonghong Quan Hongshun |
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| Abstract: | In this paper, we consider a kind of two population model (1) in which the prey has group defence ability. By the method of comparing the divergent integral of two neighboring cycles, a sufficient condition of the existence and uniqueness of a stable limit cycle is obtained. |
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| Keywords: | prey-predator system limit cycle divergent integral |
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