Title of article :
Existence of a polycycle in non-Lipschitz Gause-type predator–prey models
Author/Authors :
Bravo، نويسنده , , José Luis and Fernلndez Moreno، نويسنده , , Manuel and Gلmez، نويسنده , , Manuel and Granados، نويسنده , , Bertha and Tineo، نويسنده , , Antonio، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2011
Abstract :
We study Gause-type predator–prey models when the interaction between predator and prey is not locally-Lipschitz continuous in the absence of one of them. We shall show that in this case there appears a polycycle, which affects the existence of limit cycles for the system. We apply the results to study the existence of limit cycles for a classical Gause system.
Keywords :
Heteroclinic , Predator–prey , polycycle
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications