Hopf Bifurcation of a Modified Leslie--Gower Predator--Prey System

被引：0
|
作者：
Wei Liu
Chaojin Fu
机构：
[1] Xinyu University,School of Mathematics and Computer Science
[2] Hubei Normal University,College of Mathematics and Statistics
来源：
Cognitive Computation | 2013年 / 5卷
关键词：
Cognitive system; Economic profit; Predator--prey system; Hopf bifurcation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, Hopf bifurcation is studied for a modified Leslie--Gower predator--prey system with harvesting. Our modified system is a biological economic cognitive system. An important feature of the biological economic cognitive system is that the harvest effort on the predator--prey system is investigated from an economic perspective. By using the local parameterization method and Hopf bifurcation theory, we obtain some new criteria for the Hopf bifurcation. Lastly, a numerical example is provided to demonstrate the effectiveness of our results.
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页码：40 / 47
页数：7
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