Phase portraits of the Selkov model in the Poincaré disc
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 an...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:268647 |
| Acceso en línea: | https://ddd.uab.cat/record/268647 https://dx.doi.org/urn:doi:10.3934/dcdsb.2022056 |
| Access Level: | acceso abierto |
| Palabra clave: | Selkov model Phase portrait Poincaré compactification |
| Sumario: | 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. |
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