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Indexed by:期刊论文

Date of Publication:2018-09-01

Journal:APPLIED MATHEMATICS LETTERS

Included Journals:SCIE、EI、Scopus

Volume:83

Page Number:1-6

ISSN No.:0893-9659

Key Words:Attraction-repulsion; Boundedness; Logistic source; Chemotaxis

Abstract:We study the attraction repulsion chemotaxis system of parabolic elliptic type with logistic source: u(t) = Delta u - chi del center dot (u del v) + xi del center dot (u del w) + f(u), 0 = del v - beta v + alpha u, 0 = Delta w-delta w+gamma u, subject to the non-flux boundary conditions in a bounded domain Omega subset of R-n (n >= 1) with smooth boundary, f (s) <= a-bs(eta) for all s <= 0, where constants chi,xi,eta,alpha,delta,gamma,b > 0, a >= 0. The global boundedness of solutions to this problem was established by Li and Xiang (2016) for the repulsion domination case chi alpha < xi gamma with eta >= 1, the attraction domination case chi alpha > xi gamma with eta > 2 (or eta = 2, b properly large), and the balance case chi alpha = xi gamma with eta > 1/2(root n(2) + 4n - n + 2), respectively. In the present paper we prove for the balance case chi alpha = xi gamma that the weakened restriction eta > 2n+2/n+2 is sufficient to ensure the global boundedness of solutions. (C) 2018 Elsevier Ltd. All rights reserved.