Analysis of a Class of Lotka-Volterra Systems

被引:3
作者
Moza, G. [1 ]
Constantinescu, D. [2 ]
Efrem, R. [3 ]
Bucur, L. [2 ]
Constantinescu, R. [4 ]
机构
[1] Politehn Univ Timisoara, Dept Math, Timisoara, Romania
[2] Univ Craiova, Dept Appl Math, Craiova, Romania
[3] Univ Craiova, Dept Math, Craiova, Romania
[4] Univ Craiova, Dept Phys, Craiova, Romania
关键词
MODEL;
D O I
10.1007/s12346-022-00563-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A two-dimensional cubic Lotka-Volterra model with infinitesimal parameters is studied. Two different degenerate cases have been considered. The local behavior of the model has been studied in these cases. Sixteen different bifurcation diagrams with forty different regions describe the model's behavior in the two cases.
引用
收藏
页数:25
相关论文
共 50 条
[21]   QUALITATIVE ANALYSIS OF A LOTKA-VOLTERRA COMPETITION-DIFFUSION-ADVECTION SYSTEM [J].
Wei, Dan ;
Guo, Shangjiang .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (05) :2599-2623
[22]   BALANCING SURVIVAL AND EXTINCTION IN NONAUTONOMOUS COMPETITIVE LOTKA-VOLTERRA SYSTEMS WITH INFINITE DELAYS [J].
Montes de Oca, Francisco ;
Perez, Liliana .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2015, 20 (08) :2663-2690
[23]   Propagation dynamics of Lotka-Volterra competition systems with asymmetric dispersal in periodic habitats [J].
Hao, Yu-Xia ;
Li, Wan-Tong ;
Wang, Jia-Bing .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 300 :185-225
[24]   ATTRACTIVITY OF SATURATED EQUILIBRIA FOR LOTKA-VOLTERRA SYSTEMS WITH INFINITE DELAYS AND FEEDBACK CONTROLS [J].
Muroya, Yoshiaki ;
Faria, Teresa .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (07) :3089-3114
[25]   Hopf bifurcation in time-delayed Lotka-Volterra competition systems with advection [J].
Zhang, Yuanyuan .
APPLICABLE ANALYSIS, 2019, 98 (09) :1591-1604
[26]   On a Lotka-Volterra competition system: diffusion vs advection [J].
Zhou, Peng .
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2016, 55 (06)
[27]   PRODUCT PERFORMANCE EVOLUTION PREDICTION BY LOTKA-VOLTERRA EQUATIONS [J].
Zhang, Guanglu ;
McAdams, Daniel A. ;
Darani, Milad Mohammadi ;
Shankar, Venkatesh .
PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2017, VOL 7, 2017,
[28]   The global stability of a Lotka-Volterra system with discrete diffusions [J].
Yang, Ming ;
Yang, Jing ;
Lu, Guichen ;
Lu, Zhengyi .
JOURNAL OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING, 2020, 20 (01) :121-132
[29]   Solving TSP by using Lotka-Volterra neural networks [J].
Li, Manli ;
Yi, Zhang ;
Zhu, Min .
NEUROCOMPUTING, 2009, 72 (16-18) :3873-3880
[30]   Turing Patterns for a Nonlocal Lotka-Volterra Cooperative System [J].
Mi, Shao-Yue ;
Han, Bang-Sheng ;
Zhao, Yu-Tong .
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2021, 28 (04) :363-389