|本期目录/Table of Contents|

[1]吉学盛,毛兴宇.食饵染病生态流行病系统的稳定性与最优收获[J].集美大学学报(自然科学版),2015,20(1):71-75.
　JI Xue -sheng,MAO Xing -yu.The Stability of Eco -epidemiological Model with Infected Prey and Optimal Harvesting[J].Journal of Jimei University,2015,20(1):71-75.
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第20卷
期数:
2015年第1期
页码:
71-75
栏目:
数理科学与信息工程
出版日期:
2015-01-25

文章信息/Info

Title:
The Stability of Eco -epidemiological Model with Infected Prey and Optimal Harvesting
作者:
吉学盛; 毛兴宇
集美大学理学院，福建 厦门 361021
Author(s):
JI Xue -sheng; MAO Xing -yu
School of Science，Jimei University，Xiamen 361021，China
关键词:
捕食-食饵系统;  平衡点;  稳定性;  最优收获
Keywords:
prey -predator model; equilibrium; stability; optimal harvesting
分类号:
-
DOI:
-
文献标志码:
A
摘要:
讨论了一类在食饵种群中带有传染病结构的捕食-食饵模型，确定了各平衡点存在的阈值条件.利用特征根法、Hurwitz判别法和Lyapunov -LaSalle不变集法，得到了各个平衡点稳定性的结论以及在满足正平衡态全局稳定条件下的最优收获策略.
Abstract:
An epidemic model of a predator -prey system with infectious disease in the prey population was discussed.The conditions and threshold to the existence of various equilibriums were established.By using the characteristic root method，Hurwitz criterion and Lyapunov -LaSalle invariant set theorem,the stable results of various equilibriums and optimal harvesting based on the global stability of the positive equilibriums 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: 2015-03-05