Dynamics of a family of Lotka-Volterra systems in R³
We provide the phase portraits of the 3-dimensional Lotka-Volterra systems ẋ = x (y + az), ẏ = y (x + z), ż = bz (-ax + y), for all the values of the parameters a and b, in the finite region and in the infinity region through the Poincaré compactification. We also study the integrability of the syst...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:228120 |
| Acceso en línea: | https://ddd.uab.cat/record/228120 https://dx.doi.org/urn:doi:10.1016/j.na.2020.111915 |
| Access Level: | acceso abierto |
| Palabra clave: | Lotka-Volterra Integrability Phase portraits Poincaré disc |
| Sumario: | We provide the phase portraits of the 3-dimensional Lotka-Volterra systems ẋ = x (y + az), ẏ = y (x + z), ż = bz (-ax + y), for all the values of the parameters a and b, in the finite region and in the infinity region through the Poincaré compactification. We also study the integrability of the system. |
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