Abstract
© 2018 Elsevier Ltd 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.
Original language | English |
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Pages (from-to) | 145-150 |
Journal | Chaos, Solitons and Fractals |
Volume | 114 |
DOIs | |
Publication status | Published - 1 Sep 2018 |
Keywords
- Higgins–Selkov system
- Phase portrait
- Poincaré compactification
- Selkov system