Abstract: One of the most interesting topics in ecology systems is the stability of species. The delay population model for a single-species with harvesting was considered. Local stability was given by demark ramification. The curve of population which changes by time was given by numerical simulation, and adequate control of harvesting capacity causes the single-species in stability states.

Key words: Delay, Single-species, Local stability, Harvesting

摘要： 在生态系统中，种群的稳定性一直是研究的重点内容之一，考虑了一类具有收获的离散单种群模型,利用分枝定界法给出了平衡点局部稳定的充分条件，通过数值模拟的方法给出种群数量随时间变化的频幅图，得到适当的控制收获能力可以使种群模型达到稳定状态。

关键词: 时滞, 单种群, 局部稳定, 收获