Electron. J. Diff. Eqns., Vol. 2008(2008), No. 140, pp. 1-8.

Asymptotic behavior of a delay predator-prey system with stage structure and variable coefficients

Eric Avila-Vales, Angel G. Estrella, Javier A. Hernandez-Pinzon

Abstract:
In this paper, we establish a global attractor for a Lotka-Volterra type reaction-diffusion predator-prey model with stage structure for the predator, delay due to maturity and variable coefficients. This attractor is found by the method of upper and lower solutions and is given in terms of bounds for the coefficients.

Submitted July 8, 2008. Published October 16, 2008.
Math Subject Classifications: 35Q80, 92D25.
Key Words: Lotka-Volterra; reaction-diffusion; stage structure; time delay.

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Eric Avila-Vales
Facultad de Matemáticas, Universidad Autonoma de Yucatán
Merida, Yucatán, Mexico
email: avila@uady.mx
Angel G. Estrella
Facultad de Matemáticas, Universidad Autonoma de Yucatán
Merida, Yucatán, Mexico
email: aestrel@uady.mx
Javier A. Hernandez-Pinzon
Facultad de Matemáticas, Universidad Autonoma de Yucatán
Merida, Yucatán, Mexico
email: javieralejandro_1@hotmail.com

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