ALMOST PERIODIC SOLUTION FOR A n-SPECIES COMPETITION MODEL WITH FEEDBACK CONTROLS ON TIME SCALES

Abstract

In this paper, using the time scale calculus theory, we first discuss the permanence of a n-species competition system with feedback control on time scales. Based on the permanence result, by the Lyapunov functional method, we establish sufficient conditions for the existence and uniformly asymptotical stability of almost periodic solutions of the considered model. The results of this paper is completely new. An example is employed to show the feasibility of our main result.

Permanence and Almost Periodic Solution for an Enterprise Cluster Model Based on Ecology Theory with Feedback Controls on Time Scales

“…Lemma 9 (see [28,29]). Suppose that there exists a Lyapunov functional ( , , ) defined for ( , , ) ∈ (T + × D × D, R) satisfying the following conditions:…”