Dynamics of the Higgins–Selkov and Selkov systems

Joan Carles Artés, Jaume Llibre and Claudià Valls

Chaos, Solitons & Fractals, 2018, vol. 114, issue C, 145-150

Abstract: 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.

Keywords: Selkov system; Higgins–Selkov system; Phase portrait; Poincaré compactification (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:114:y:2018:i:c:p:145-150

DOI: 10.1016/j.chaos.2018.07.007

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