Non-algebraic oscillations for predator-prey models
We prove that the limit cycle oscillations of the celebrated Rosenzweig-MacArthur differential system and other predator-prey models are non-algebraic.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150737 |
| Acceso en línea: | https://ddd.uab.cat/record/150737 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_Extra14_11 |
| Access Level: | acceso abierto |
| Palabra clave: | Invariant algebraic curves Limit cycles Periodic orbit Planar polynomial differential system Predator-prey model Rosenzweig-MacArthur system |
| Sumario: | We prove that the limit cycle oscillations of the celebrated Rosenzweig-MacArthur differential system and other predator-prey models are non-algebraic. |
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