Permanence for a discrete competitive system with feedback controls

Abstract

A nonautonomous discrete competitive system with nonlinear inter-inhibition terms and feedback controls is studied in this paper. By using difference inequality theory, a set of conditions which guarantee the permanence of system is obtained. The results indicate that feedback control variables have no influence on the persistent property of the system. Our results not only supplement but also improve some existing ones. Numerical simulations show the feasibility of our results.