中文摘要：

本文讨论了一类具有αi类功能性反应函数和广义扩散的n种群竞争反馈控制生态系统的持续生存性。利用比较原理,得到了系统的所有正解最终有界的条件。通过构造持久生存函数,给出了系统一致持久生存的充分条件,并导出了系统的持久生存域。最后,通过建立具体模型说明所得结果的可实现性。研究结果表明,时滞不影响系统的持续生存性,通过适当控制扩散率,可使系统中的各个种群长期共存。

英文摘要：

Investigated in this paper is the uniform persistence for a class of n-species Lotka-Volterra competition systems with feedback controls,generalized diffusions and the αi-kind functional response.It is shown that all the positive solutions of the system are ultimately bounded.The sufficient conditions for the uniform persistence are established by constructing a persistence function. Meanwhile, the uniform persistent region of the system is derived. At last, the feasibility of the assumptions in the theorems is illustrated by an example. Our results show that the delays don＇t affect the persistence of the system, and by suitably controlling the diffusion, all the species in the system will be persistent.