Global dynamics of a Lotka-Volterra system in R³
In this work we consider the Lotka-Volterra system in R³ x˙ = -x(x - y - z), y˙ = -y(-x + y - z), z˙ = -z(-x - y + z), introduced recently in [7], and studied also in [8] and [14]. In the first two papers the authors mainly studied the integrability of this differential system, while in the third pa...
| 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:228109 |
| Acceso en línea: | https://ddd.uab.cat/record/228109 https://dx.doi.org/urn:doi:10.1080/14029251.2020.1757240 |
| Access Level: | acceso abierto |
| Palabra clave: | Lotka-Volterra system Phase portraits Poincaré ball |
| Sumario: | In this work we consider the Lotka-Volterra system in R³ x˙ = -x(x - y - z), y˙ = -y(-x + y - z), z˙ = -z(-x - y + z), introduced recently in [7], and studied also in [8] and [14]. In the first two papers the authors mainly studied the integrability of this differential system, while in the third paper they studied the system as a Hamilton-Poisson system, and also started the analysis of its dynamics. Here we provide the global phase portraits of this 3-dimensional Lotka-Volterra system in the Poincaré ball, that is in R³ adding its extension to the infinity. |
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