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Indexed by:期刊论文

Date of Publication:2011-12-01

Journal:MATHEMATISCHE NACHRICHTEN

Included Journals:Scopus、SCIE

Volume:284

Issue:17-18

Page Number:2175-2183

ISSN No.:0025-584X

Key Words:Reaction-diffusion system; maximum principle; global attractor; semigroup; cross diffusion

Abstract:This paper studies a three-species predator-prey model with cross-diffusion. In a previous paper 11 of Pang and Wang, it was proved that the system admits global classical solutions if the exponents in cross diffusion term satisfy m, l = 1. In the present paper, we continue considering the asymptotic behavior of the solutions, and obtain that the system possesses a global attractor in fact, if the cross diffusion exponents are even larger with m, l = 2.