Almost periodic solutions of n-species competitive system with feedback controls

In this paper, the following almost periodic n-species competitive system with feedback controls) {(x) over dot(i)(t) =x(i)(t)[b(i)(t) - Sigma(j=1)(n) a(ij)(t)x(j)(t) - Sigma(j=1)(n),(jnot equali) c(ij)(t)x(i)(t)x(j)(t) - d(i)(t)u(i)(t)], (u) over dot(i)(t)= r(i) (t) - e(i) (t)u(i) (t) + f(i) (t)x(i) (t), i = 1, 2,..., n, are studied by using the comparison theorem and constructing suitable Lyapunov function, where some important factors such as the effect of toxic and the age-structure are also considered simultaneously Some sufficient conditions are obtained for the existence of a unique almost periodic solution of above model. Examples show that the obtained criteria are new, general, and easily verifiable. (C) 2004 Elsevier Inc. All rights reserved.