|
|||||
|
|
Existence of a polycycle in non-Lipschitz Gause-type predator-prey models |
|
| Authors: | José Luis Bravo Manuel Fernández Manuel Gámez |
| Institution: | a Departamento de Matemáticas, Universidad de Extremadura, Spain b Departamento de Estadística y Matemática Aplicada, Universidad de Almería, 04120 Almería, Spain c Departamento de Matemáticas, Facultad de Ciencias, Universidad de los Andes, 5101 Mérida, Venezuela |
| 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: | Predator-prey Heteroclinic Polycycle |
| 本文献已被 ScienceDirect 等数据库收录！ | |