A three-dimensional chemostat with quadratic yields

被引：0
|
作者：
Xuncheng Huang
Lemin Zhu
机构：
[1] Yangzhou Polytechnic University,
来源：
Journal of Mathematical Chemistry | 2005年 / 38卷
关键词：
continuous culture; variable yield; limit cycles; Hopf bifurcation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A three-dimensional chemostat with two microorganisms which are both with quadratic yields is studied. The stability of the equlibrium points, the existence of limit cycles, the Hopf bifurcation, and the positive invariant set for the system are discussed. We also prove the conditions that guarantee two limit cycles in the model.
引用
收藏
页码：399 / 412
页数：13
相关论文
共 50 条
  • [41] A quadratic boundary element formulation for three-dimensional contact problems with friction
    Leahy, JG
    Becker, AA
    JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN, 1999, 34 (04): : 235 - 251
  • [42] Ergodic and resonant torus doubling bifurcation in a three-dimensional quadratic map
    Muni, Sishu Shankar
    NONLINEAR DYNAMICS, 2024, 112 (06) : 4117 - 4145
  • [43] Three-dimensional point cloud registration algorithm based on quadratic error
    Xu, Guangrun
    Huang, Jianmin
    INTERNATIONAL CONFERENCE ON IMAGE PROCESSING AND INTELLIGENT CONTROL (IPIC 2021), 2021, 11928
  • [44] Topological Mott Insulator in Three-Dimensional Systems with Quadratic Band Touching
    Herbut, Igor F.
    Janssen, Lukas
    PHYSICAL REVIEW LETTERS, 2014, 113 (10)
  • [45] Three-Dimensional Aircraft Path Planning based on Nonconvex Quadratic Optimization
    Dai, Ran
    2014 AMERICAN CONTROL CONFERENCE (ACC), 2014, : 4561 - 4566
  • [46] An indirect method of finding integrals for three-dimensional quadratic homogeneous systems
    Gao, PY
    Liu, ZN
    PHYSICS LETTERS A, 1998, 244 (1-3) : 49 - 52
  • [47] The quadratic three-dimensional assignment problem:: Exact and approximate solution methods
    Hahn, Peter M.
    Kim, Burn-Jin
    Stuetzle, Thomas
    Kanthak, Sebastian
    Hightower, William L.
    Samra, Harvind
    Ding, Zhi
    Guignard, Monique
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2008, 184 (02) : 416 - 428
  • [48] Ergodic and resonant torus doubling bifurcation in a three-dimensional quadratic map
    Sishu Shankar Muni
    Nonlinear Dynamics, 2024, 112 : 4651 - 4661
  • [49] Three-dimensional modes of three-dimensional microlasers
    Sobeshchuk, N.
    Guidry, M.
    Bittner, S.
    Decanini, D.
    Baron, O.
    Scheuer, J.
    Zyss, J.
    Lebental, M.
    2017 CONFERENCE ON LASERS AND ELECTRO-OPTICS EUROPE & EUROPEAN QUANTUM ELECTRONICS CONFERENCE (CLEO/EUROPE-EQEC), 2017,
  • [50] Three-dimensional diffuser and three-dimensional speckles
    A. P. Vladimirov
    Technical Physics, 1998, 43 : 1454 - 1458
12345