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.

引用

页数：15

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