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论文类型：期刊论文

发表时间：2018-01-01

发表刊物：APPLICABLE ANALYSIS

收录刊物：SCIE、Scopus

卷号：97

期号：13

页面范围：2349-2354

ISSN号：0003-6811

关键字：Chemotaxis; Keller-Segel system; attraction-repulsion; boundedness; blow-up

摘要：This paper determines the critical mass for the attraction-repulsion chemotaxis system: ut = Delta u-chi del center dot (u. v)+ center dot (u. w), 0 = Delta v+ alpha u - beta v, 0 = Delta w +. u -dw, subject to the non-flux boundary condition in a bounded domain Delta R2 with.,. = 0, a, ss,., d > 0. It was known that the solutions are globally bounded if.a -.. < 0. In this paper, we prove with.a -.. > 0 that the solutions must be globally bounded whenever the initial mass integral(Omega)u0(x)dx > 4/chi alpha-xi gamma., and the finite time blow-up may occur if integral(Omega)u0(x)dx > 4/chi alpha-xi gamma.