期刊
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 39, 期 2, 页码 289-301出版社
WILEY
DOI: 10.1002/mma.3477
关键词
global existence; uniform boundedness; nonlinear diffusion; chemotaxis
资金
- Natural Science Project of Sichuan Province Department of Education [15ZB0145]
This paper is devoted to the attraction-repulsion chemotaxis system with nonlinear diffusion: (u(t) =del .(D(u)del u)- chi del . (u del v) + zeta del.(u del w)+uf(u), x epsilon Omega, t >0, v(t) = Delta(v) - alpha(1)v + beta(1)u, x is an element of Omega, t > 0, w(t) = Delta(w) - alpha(2)w +beta(2)u, x is an element of Omega t > 0, where > 0, > 0, (i)>0, (i)>0 (i = 1,2) and f(s) - s. In two-space dimension, we prove the global existence and uniform boundedness of the classical solution to this model for any > 0. Copyright (c) 2015 John Wiley & Sons, Ltd.
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