刊名:Journal of Mathematical Analysis and Applications
出版年:2011
出版时间:15 January 2011
年:2011
卷:373
期:2
页码:512-520
全文大小:193 K
文摘
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.