Asymptotic behavior in a general diffusive three-species predator-prey model

E. J. Avila–Vales; T. Montañez–May

doi:10.3934/cpaa.2002.1.253

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2002, Volume 1, Issue 2: 253-267. Doi: 10.3934/cpaa.2002.1.253

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Asymptotic behavior in a general diffusive three-species predator-prey model

E. J. Avila–Vales^1, and
T. Montañez–May¹

1.
Facultad de Matemáticas, Universidad Autónoma de Yucatán, Calle 8 ×21 s/n, Col. Ma. Luisa, Mérida

Received: May 2001

Revised: January 2002

Published: June 2002

Abstract / Introduction Related Papers Cited by

Abstract

This paper considers a periodic diffusion system representing one predator-two preys and two predator-one prey. We construct via an iteration scheme, a box that closes in solutions imposing conditions in the spectra of linear differential operators associated with the original reaction-diffusion system.

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Mathematics Subject Classification: 35K57, 92D40, 35B40.

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