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

作者：Xia YH; Cao JD^*; Zhang HY; Chen FD

来源：Journal of Mathematical Analysis and Applications, 2004, 294(2): 503-522.

DOI：10.1016/j.jmaa.2004.02.025

• competitive system
• feedback controls
• almost periodic solution
• global attractivity

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.

• 出版日期2004-6-15
• 单位东南大学