Phase portraits of the Selkov model in the Poincaré disc
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Nabavi, Arefeh (Isfahan University of Technology. Department of Mathematical Sciences (Iran))

Date:	2022
Abstract:	In this paper we classify the phase portraits in the Poincaré disc of the Selkov model for the glycolysis process x˙ = −x + ay + x2y, y˙ = b − ay − x2y, in function of its parameters a, b ∈ R. In particular we determine the regions in the parameter plane with biological meaning, i. e. with a, b, x and y positive.
Grants:	Agencia Estatal de Investigación PID2019-104658GB-I00 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Selkov model ; Phase portrait ; Poincaré compactification
Published in:	Discrete and Continuous Dynamical Systems - B, Vol. 27, Issue 12 (December 2022) , p. 7607-7623, ISSN 1531-3492

DOI: 10.3934/dcdsb.2022056

Postprint 16 p, 409.5 KB

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