TY - JOUR
T1 - Dynamics of the Higgins–Selkov and Selkov systems
AU - Artés, Joan Carles
AU - Llibre, Jaume
AU - Valls, Claudià
N1 - Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2018/9
Y1 - 2018/9
N2 - We describe the global dynamics in the Poincaré disc of the Higgins–Selkov model x′=k0−k1xy2,y′=−k2y+k1xy2,where k0, k1, k2 are positive parameters, and of the Selkov model x′=−x+ay+x2y,y′=b−ay−x2y,where a, b are positive parameters. We determine the regions of initial conditions with biological meaning.
AB - We describe the global dynamics in the Poincaré disc of the Higgins–Selkov model x′=k0−k1xy2,y′=−k2y+k1xy2,where k0, k1, k2 are positive parameters, and of the Selkov model x′=−x+ay+x2y,y′=b−ay−x2y,where a, b are positive parameters. We determine the regions of initial conditions with biological meaning.
KW - Higgins–Selkov system
KW - Phase portrait
KW - Poincaré compactification
KW - Selkov system
UR - http://www.scopus.com/inward/record.url?scp=85049785039&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2018.07.007
DO - 10.1016/j.chaos.2018.07.007
M3 - Article
AN - SCOPUS:85049785039
SN - 0960-0779
VL - 114
SP - 145
EP - 150
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
ER -