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论文类型：期刊论文

发表时间：2015-11-01

发表刊物：APPLIED MATHEMATICS LETTERS

收录刊物：SCIE、EI、Scopus

卷号：49

页面范围：73-77

ISSN号：0893-9659

关键字：Predator-prey; Prey-taxis; Reaction-diffusion system; Roundedness

摘要：This paper studies a reaction-diffusion system of a predator-prey model with Holling type II functional response and prey-taxis, proposed by Ainseba et al. (2008), where the prey-taxis means a direct movement of the predator in response to a variation of the prey (which results in the aggregation of the predator). The global existence of classical solutions was established by Tao (2010). In this paper we prove furthermore that the global classical solutions are globally bounded, by means of the Gagliardo-Nirenberg inequality, the L-p - L-q estimates for the Neumann heat semigroup, and the L-p estimates with Moser's iteration of parabolic equations. (C) 2015 Elsevier Ltd. All rights reserved.