|本期目录/Table of Contents|

[1]李石英,张树文.食饵具有偏利合作关系的捕食-食饵系统的定性分析[J].集美大学学报(自然科学版),2016,21(3):234-240.
　LI Shi-ying,ZHANG Shu-wen.Qualitative Analysis of a Three-species Predator-prey System with Partial Benefit Relationship of Prey[J].Journal of Jimei University,2016,21(3):234-240.
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第21卷
期数:
2016年第3期
页码:
234-240
栏目:
数理科学与信息工程
出版日期:
2016-05-28

文章信息/Info

Title:
Qualitative Analysis of a Three-species Predator-prey System with Partial Benefit Relationship of Prey
作者:
李石英; 张树文
（集美大学理学院，福建 厦门 361021）
Author(s):
LI Shi-ying; ZHANG Shu-wen
(School of Science，Jimei University，Xiamen 361021，China)
关键词:
捕食-食饵系统; 平衡态; 局部稳定; 全局渐近稳定
Keywords:
predator-prey system; equilibrium solution; local stability; global asymptotic stability
分类号:
-
DOI:
-
文献标志码:
A
摘要:
考虑了一个包含偏利关系的三种群捕食-食饵系统，给出其正平衡态与边界平衡态存在的条件，并通过构造适当的李雅普诺夫函数得到正平衡态与边界平衡态全局渐近稳定的充分条件。
Abstract:
A three-species predator-prey system with partial benefit relationship was considered.The conditions of the existence of the equilibrium were given.By constructing some suitable Liapunov functions,the sufficient conditions of the global asymptotic stability of the positive equilibrium and boundary equilibrium were obtained.

参考文献/References:

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备注/Memo

备注/Memo:
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更新日期/Last Update: 2016-07-01