Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2011-12-01

Journal: MATHEMATISCHE NACHRICHTEN

Included Journals: SCIE、Scopus

Volume: 284

Issue: 17-18

Page Number: 2175-2183

ISSN: 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.