The Stability and Hopf Bifurcation of the Differential-Algebraic Biological Economic System with Single Harvesting

被引：0
|
作者：
Zhu, Wenwen [1 ]
Huang, Jian [2 ]
Liu, Weiyi [3 ]
机构：
[1] Hubei Engn Inst, Huangshi, Peoples R China
[2] Sixteenth Middle Sch Huanshi, Huangshi, Peoples R China
[3] Xiaiming Vocat Tech Coll, Inst Technol, Xianning, Peoples R China
来源：
2015 SIXTH INTERNATIONAL CONFERENCE ON INTELLIGENT CONTROL AND INFORMATION PROCESSING (ICICIP) | 2015年
关键词：
predator-prey system; stability; Hopf bifurcation; differential algebraic system;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Genecology has developed quickly and systematically by utilizing mathematical principle. The research about the prey-predator system is more and more thorough, closes to the social reality. Considering the actual application, we establish a class of differential algebraic biological economic systems. And, we study the stability of this system by utilizing the Hopf bifurcation theorem and the new normal form. Here, economic factor m as a bifurcation parameter, it is found that the periodic solution will occur when the parameter m closes to a certain value m(0).
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页码：92 / 97
页数：6
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