On the number of limit cycles in a predator prey model with non-monotonic functional response

Gonzalez-Olivares, E; Gonzalez-Yanez, B; Sáez E.; Szanto, I

Abstract

In this work we analyze a Gause type predator-prey model with a non-monotonic functional response and we show that it has two limit cycles encircling an unique singularity at the interior of the first quadrant, the innermost unstable and the outermost stable, completing the results obtained in previous paper [12, 17, 26, 28]. Moreover, using the Poisson bracket we give a proof, shorter than the ones found in the literature, for determining the type of a cusp point of a singularity at the first quadrant.

Más información

Título según WOS: On the number of limit cycles in a predator prey model with non-monotonic functional response
Título según SCOPUS: On the number of limit cycles in a predator prey model with non-monotonic functional response
Título de la Revista: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Volumen: 6
Número: 3
Editorial: AMER INST MATHEMATICAL SCIENCES-AIMS
Fecha de publicación: 2006
Página de inicio: 525
Página final: 534
Idioma: English
Notas: ISI, SCOPUS