TY - JOUR
T1 - Dynamics of a Competitive Lotka–Volterra Systems in R3
AU - Llibre, Jaume
AU - Martínez, Y. Paulina
N1 - Publisher Copyright:
© 2020, Springer Nature B.V.
PY - 2020/12/1
Y1 - 2020/12/1
N2 - We describe the dynamics of the 3-dimensional competitive Lotka–Volterra systems x˙=x(a−x−y−z),y˙=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 Poincaré ball.
AB - We describe the dynamics of the 3-dimensional competitive Lotka–Volterra systems x˙=x(a−x−y−z),y˙=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 Poincaré ball.
KW - Competitive Lotka–Volterra systems
KW - Integrability
KW - Lotka–Volterra systems
KW - Phase portraits
KW - Poincaré ball
UR - https://www.scopus.com/pages/publications/85087891862
U2 - 10.1007/s10440-020-00346-6
DO - 10.1007/s10440-020-00346-6
M3 - Article
AN - SCOPUS:85087891862
SN - 0167-8019
VL - 170
SP - 569
EP - 577
JO - Acta Applicandae Mathematicae
JF - Acta Applicandae Mathematicae
IS - 1
ER -