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).
引用
收藏
页码：92 / 97
页数：6
相关论文
共 50 条
  • [1] Hopf bifurcation and stability for a differential-algebraic biological economic system
    Zhang, Guodong
    Zhu, Lulu
    Chen, Boshan
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (01) : 330 - 338
  • [2] STABILITY AND HOPF BIFURCATION OF THE COEXISTENCE EQUILIBRIUM FOR A DIFFERENTIAL-ALGEBRAIC BIOLOGICAL ECONOMIC SYSTEM WITH PREDATOR HARVESTING
    Nadjah, Kerioui
    Salah, Abdelouahab Mohammed
    ELECTRONIC RESEARCH ARCHIVE, 2021, 29 (01): : 1641 - 1660
  • [3] Hopf bifurcation in a delayed differential-algebraic biological economic system
    Zhang, Guodong
    Zhu, Lulu
    Chen, Boshan
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (03) : 1708 - 1719
  • [4] Hopf bifurcation for a differential-algebraic biological economic system with time delay
    Zhang, Guodong
    Chen, Boshan
    Zhu, Lulu
    Shen, Yi
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (15) : 7717 - 7726
  • [5] Hopf bifurcation theorem for quasilinear differential-algebraic equations
    Rabier, Patrick J.
    Computer Methods in Applied Mechanics and Engineering, 1999, 170 (03): : 355 - 371
  • [6] A Hopf bifurcation theorem for singular differential-algebraic equations
    Beardmore, R.
    Webster, K.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2008, 79 (04) : 1383 - 1395
  • [7] The Hopf bifurcation theorem for quasilinear differential-algebraic equations
    Rabier, PJ
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 170 (3-4) : 355 - 371
  • [8] Dynamic Properties of a Differential-Algebraic Biological Economic System
    Zhang, Hongyang
    Zhang, Chunrui
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [9] Direct computation of Hopf bifurcation points in differential-algebraic equations
    Andrade Neto, A. S.
    Secchi, A. R.
    Melo, P. A.
    COMPUTERS & CHEMICAL ENGINEERING, 2019, 121 : 639 - 645
  • [10] Hopf Bifurcation of a Differential-Algebraic Bioeconomic Model with Time Delay
    Zhou, Xiaojian
    Chen, Xin
    Song, Yongzhong
    JOURNAL OF APPLIED MATHEMATICS, 2012,
12345