Dynamics of a Competitive Lotka-Volterra Systems in R3

被引：0

作者：

Llibre, Jaume ^{[1
]}

Martinez, Y. Paulina ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Fac Ciencies, Dept Matemat, Barcelona 08193, Catalonia, Spain

[2] Univ Bio Bio, Fac Ciencias, Dept Matemat, Concepcion, Chile

来源：

ACTA APPLICANDAE MATHEMATICAE | 2020年 / 170卷 / 01期

基金：

欧盟地平线“2020”;

关键词：

Lotka-Volterra systems; Integrability; Phase portraits; Poincare ball; Competitive Lotka-Volterra systems; DIFFERENTIAL-EQUATIONS;

D O I：

10.1007/s10440-020-00346-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe the dynamics of the 3-dimensional competitive Lotka-Volterra systems (x) over dot = x(a - x - y - z), (y) over dot = y(b - x - y - z), (z) = z(c - x - y - z), providing the phase portraits for all the values of the parameters a, b and c with 0 < a < b < c in the positive octant of the Poincare ball.

引用

页码：569 / 577

页数：9

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