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论文类型：期刊论文

发表时间：2011-12-01

发表刊物：MATHEMATISCHE NACHRICHTEN

收录刊物：Scopus、SCIE

卷号：284

期号：17-18

页面范围：2175-2183

ISSN号：0025-584X

关键字：Reaction-diffusion system; maximum principle; global attractor; semigroup; cross diffusion

摘要：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.