TY - JOUR
T1 - PHASE PORTRAITS of the HIGGINS–SELKOV SYSTEM
AU - Llibre, Jaume
AU - Mousavi, Marzieh
N1 - Publisher Copyright:
© 2022 American Institute of Mathematical Sciences. All rights reserved.
PY - 2022/1
Y1 - 2022/1
N2 - In this paper we study the dynamics of the Higgins–Selkov system ẋ = 1 − xyγ, ẏ = αy(xyγ−1 − 1), where α is a real parameter and γ > 1 is an integer. We classify the phase portraits of this system for γ = 3, 4, 5, 6, in the Poincaré disc for all the values of the parameter α. Moreover, we determine in function of the parameter α the regions of the phase space with biological meaning.
AB - In this paper we study the dynamics of the Higgins–Selkov system ẋ = 1 − xyγ, ẏ = αy(xyγ−1 − 1), where α is a real parameter and γ > 1 is an integer. We classify the phase portraits of this system for γ = 3, 4, 5, 6, in the Poincaré disc for all the values of the parameter α. Moreover, we determine in function of the parameter α the regions of the phase space with biological meaning.
KW - Higgins–Selkov system
KW - Limit cycle
KW - Phase portrait
KW - Poincaré compactification
UR - https://www.scopus.com/pages/publications/85113719774
U2 - 10.3934/dcdsb.2021039
DO - 10.3934/dcdsb.2021039
M3 - Article
AN - SCOPUS:85113719774
SN - 1531-3492
VL - 27
SP - 245
EP - 256
JO - Discrete and Continuous Dynamical Systems - Series B
JF - Discrete and Continuous Dynamical Systems - Series B
IS - 1
ER -