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