中文摘要：

研究具有反馈控制和时滞影响的非自治离散竞争系统的持久性问题,通过运用差分不等式,得到了保证该系统永久持续生存的充分性条件。所得结果改进了现有的工作。数值模拟表明,本文结果具有可靠性。

英文摘要：

A noautonomous discrete competitive system with time delay 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 the existing work. The numerical simulations show that the results are reliable