Limit Cycles of A Cubic Kolmogorov System

被引：0
|
作者：
Li, Feng [1 ]
机构：
[1] Linyi Normal Univ, Dept Math, Linyi 276005, Peoples R China
来源：
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II | 2010年
关键词：
equilibrium; limit cycle; bifurcation;
D O I：
暂无
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A cubic kolmogorov system was considered in this paper, first three singular point values were calculated with the help of mathematics, and the fact that there were at most three limit cycles which can be bifurcated from a critical point in the first quadrant was proved.
引用
收藏
页码：619 / 622
页数：4
相关论文
共 50 条
  • [1] Limit cycles of a cubic Kolmogorov system
    Lloyd, NG
    Pearson, JM
    Saez, E
    Szanto, I
    [J]. APPLIED MATHEMATICS LETTERS, 1996, 9 (01) : 15 - 18
  • [2] A cubic Kolmogorov system with six limit cycles
    Lloyd, NG
    Pearson, JM
    Saéz, E
    Szántó, I
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 44 (3-4) : 445 - 455
  • [3] INTEGRABILITY AND BIFURCATIONS OF LIMIT CYCLES IN A CUBIC KOLMOGOROV SYSTEM
    Feng, Li
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2013, 23 (04):
  • [4] Existence of Limit Cycles for a Cubic Kolmogorov System with a Hyperbolic Solution
    沈伯骞
    刘德明
    [J]. Communications in Mathematical Research, 2000, (01) : 91 - 95
  • [5] Nondegenerate centers and limit cycles of cubic Kolmogorov systems
    Antonio Algaba
    Cristóbal García
    Jaume Giné
    [J]. Nonlinear Dynamics, 2018, 91 : 487 - 496
  • [6] Multiple stable limit cycles for a cubic Kolmogorov prey-predator system
    Lu, Zheng-yi
    He, Bi
    [J]. Gongcheng Shuxue Xuebao/Chinese Journal of Engineering Mathematics, 2001, 18 (04): : 115 - 117
  • [7] Nondegenerate centers and limit cycles of cubic Kolmogorov systems
    Algaba, Antonio
    Garcia, Cristobal
    Gine, Jaume
    [J]. NONLINEAR DYNAMICS, 2018, 91 (01) : 487 - 496
  • [8] Limit Cycles in a Cubic Kolmogorov System with Harvest and Two Positive Equilibrium Points
    Zhang, Qi-Ming
    Li, Feng
    Zhao, Yulin
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [9] The limit cycles of a general Kolmogorov system
    Yuan, Yueding
    Chen, Haibo
    Du, Chaoxiong
    Yuan, Yuejin
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 392 (02) : 225 - 237
  • [10] EXISTENCE AND UNIQUENESS OF LIMIT CYCLES ON A CUBIC KOLMOGOROV DIFFERENTIAL SYSTEM IN THE PREDATOR-PREY RELATION
    甘万选
    [J]. Acta Mathematicae Applicatae Sinica, 1988, (03) : 245 - 256
12345