Permanence in multi-species competitive systems with delays and feedback controls

Abstract

In this paper, we consider whether or not the feedback controls have influence on a multi-species Kolmogorov type competitive system with delays. The general criteria of integrable form on the ultimate boundedness and permanence are established. When these results are applied to some population models, some new results can be obtained, and some known results also can be generalized and easily verified. Copyright © 2008 Rocky Mountain Mathematics Consortium.