Dynamics of a competitive Lotka-Volterra systems in R3
We describe the dynamics of the 3-dimensional competitive Lotka-Volterra systems x˙=x(a-x-y-z), y˙=y(b-x-y-z), z˙=z(c-x-y-z), providing the phase portraits for all the values of the parameters a, b and c with 0 < a< b< c in the positive octant of the Poincaré ball.
| 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:232171 |
| Acceso en línea: | https://ddd.uab.cat/record/232171 https://dx.doi.org/urn:doi:10.1007/s10440-020-00346-6 |
| Access Level: | acceso abierto |
| Palabra clave: | Lotka-Volterra systems Integrability Phase portraits Poincaré ball Competitive Lotka-Volterra systems |
| Sumario: | We describe the dynamics of the 3-dimensional competitive Lotka-Volterra systems x˙=x(a-x-y-z), y˙=y(b-x-y-z), z˙=z(c-x-y-z), providing the phase portraits for all the values of the parameters a, b and c with 0 < a< b< c in the positive octant of the Poincaré ball. |
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