Phase portraits of the Higgins-Selkov system
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Mousavi, Marzieh (Isfahan University of Technology. Department of Mathematical Sciences (Iran))

Date:	2021
Abstract:	In this paper we study the dynamics of the Higgins-Selkov system x˙=1−xyγ,y˙=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.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Higgins-Selkov system ; Limit cycle ; Phase portrait ; Poincaré compactification
Published in:	Discrete and continuous dynamical systems. Series B, Vol. 26 (2021) , ISSN 1553-524X

DOI: 10.3934/dcdsb.2021039

Postprint 12 p, 915.5 KB

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