# American Institute of Mathematical Sciences

June  2002, 1(2): 253-267. doi: 10.3934/cpaa.2002.1.253

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

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

Received  May 2001 Revised  January 2002 Published  March 2002

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.
Citation: E. J. Avila–Vales, T. Montañez–May. Asymptotic behavior in a general diffusive three-species predator-prey model. Communications on Pure and Applied Analysis, 2002, 1 (2) : 253-267. doi: 10.3934/cpaa.2002.1.253
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