Dynamics of a family of Lotka-Volterra systems in R3

被引：6
|
作者：
Llibre, Jaume [1 ]
Martinez, Y. Paulina [2 ,3 ]
机构：
[1] Univ Autonoma Barcelona, Fac Ciencies, Dept Matemat, Barcelona 08193, Catalonia, Spain
[2] Ctr Recerca Matemat, Barcelona 08193, Catalonia, Spain
[3] Univ Bio Bio, Fac Ciencias, Dept Matemat, Concepcion, Chile
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 199卷
基金：
欧盟地平线“2020”;
关键词：
Lotka-Volterra; Integrability; Phase portraits; Poincare disc; DIFFERENTIAL-EQUATIONS; CLASSIFICATION;
D O I：
10.1016/j.na.2020.111915
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide the phase portraits of the 3-dimensional Lotka-Volterra systems (x) over dot = x(y + az), (y) over dot = y(x + z), (z) over dot = bz(- ax + y), for all the values of the parameters a and b, in the finite region and in the infinity region through the Poincare compactification. We also study the integrability of the system. (c) 2020 Elsevier Ltd. All rights reserved.
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页数：15
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