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.
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页码：569 / 577
页数：9
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