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摘要
This paper deals with the two-species chemotaxis-competition system @@@ { u(t) = d(1)Delta u - del center dot (u chi(1) (w)del w) vertical bar u(1) u(1 - u - a(1) v) in Omega x (0, infinity), @@@ v(t) = d(2)Delta v -del center dot (v chi(2)(w)del w) vertical bar mu(2)v(1 - a(2)u - v) in Omega x (0, infinity), @@@ w(t) = d(3)Delta w + h(u, v, w) in Omega x (0, infinity), @@@ where Omega is a bounded domain in R-n with smooth boundary partial derivative Omega, n epsilon N; h, chi(i) are functions satisfying some conditions. In the case that chi(i)(w) = chi(i), Bai-Winkler [1] proved asymptotic behavior of solutions to the above system under some conditions which roughly mean largeness of mu(1,) mu(2). The main purpose of this paper is to extend the previous method for obtaining asymptotic stability. As a result, the present paper improves the conditions assumed in [l], i.e., the ranges of mu(1,) mu(2) are extended.
- 出版日期2017-8
