On the dynamics of a ratio dependent Predator-Prey system withdiffusion and delay

Marcos Lizana; Julio Marín

doi:10.3934/dcdsb.2006.6.1321

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2006, Volume 6, Issue 6: 1321-1338. Doi: 10.3934/dcdsb.2006.6.1321

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On the dynamics of a ratio dependent Predator-Prey system with diffusion and delay

Marcos Lizana^1, and
Julio Marín^2,

1.
Departamento de Matemáticas, Facultad de Ciencias, Universidad de los Andes, Mérida
2.
Departamento de Matemática, Escuela de Ciencias, Núcleo de Sucre, Universidad de Oriente, Av. Universidad, Cumaná, Edo. Sucre

Received: April 30, 2005

Revised: May 31, 2006

Published: October 2006

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Abstract

The main concern of this paper is to study the dynamic of a ratio dependent predator-prey system with diffusion and delay. Concretely, we study the dissipativeness and persistence of the system. We show that there are no non trivial steady states solutions for certain parameter's configuration; and discuss the existence of attracting periodic solutions.

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Mathematics Subject Classification: Primary: 92D25; Secondary: 35K57.

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