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Date: | 2014 |
Abstract: | We prove that the limit cycle oscillations of the celebrated Rosenzweig-MacArthur differential system and other predator-prey models are non-algebraic. |
Grants: | Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 |
Note: | Agraïments: The first author is additionally partially supported by grants Juan de la Cierva and MTM2009-14163-C02-02. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Invariant algebraic curves ; Limit cycles ; Periodic orbit ; Planar polynomial differential system ; Predator-prey model ; Rosenzweig-MacArthur system |
Published in: | Publicacions matemàtiques, Vol. Extra (2014) , p. 195-207, ISSN 2014-4350 |
Postprint 8 p, 300.9 KB |
13 p, 292.7 KB |