Non-algebraic oscillations for predator-prey models

Antoni Ferragut; Armengol Gasull

doi:pm/1400505233

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Home > Journals > Publ. Mat. > Volume 58 > Issue S1 > Article

2014 Non-algebraic oscillations for predator-prey models

Antoni Ferragut, Armengol Gasull

Publ. Mat. 58(S1): 195-207 (2014).

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Abstract

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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Antoni Ferragut. Armengol Gasull. "Non-algebraic oscillations for predator-prey models." Publ. Mat. 58 (S1) 195 - 207, 2014.

Information

Published: 2014

First available in Project Euclid: 19 May 2014

zbMATH: 1310.34054

MathSciNet: MR3211834

Subjects:

Primary: 347C10 , 34C05 , 37N25 , 92D25

Keywords: invariant algebraic curve , limit cycle , periodic orbit , Planar polynomial differential system , predator-prey model , Rosenzweig-MacArthur system