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摘要
In this paper, we consider the chemotaxis system of two species which are attracted by the same signal substance @@@ {u(t) = Delta u - del.(u chi(1) (w)del w) + mu(1)u(1-u-a(1)u), x is an element of Omega, t > 0, v(t) = Delta v - del.(v chi(2) (w)del w) + mu(2)v(1-a(2)u-v), x is an element of Omega, t > 0, w(t) = Delta w - w + u + v, x is an element of Omega, t > 0, @@@ under homogeneous Neumann boundary conditions in a smooth bounded domain Omega subset of R-n . We prove that if the nonnegative initial data (u(0), v(0)) is an element of(C-0((Omega) over bar))(2) and w0 is an element of W-1,W-r (Omega) for some r > n, the system possesses a unique global uniformly bounded solution under some conditions on the chemotaxis sensitivity functions chi (1)(w), chi (2)(w) and the logistic growth coefficients mu (1), mu (2).
- 出版日期2015-2
- 单位东南大学
