提出并研究了一类具有阶段结构的单种群扩散模型,得到其在正平衡点处的稳定性和在零平衡点处的不稳定性.“,”A stage-structured single species model with diffusion is considered,where all the parameters are constants.The system,which is composed of two patches,has one species which is divided into immature and mature.And the mature can diffuse between the two patches while the immature population is confined to one patch and cannot diffuse.We get the boundary of the solution and the existence of the positive equilibrium of the model, and obtain the asymptotically stabilities of the positive equilibrium of the model and the positive equilibrium under proper conditions. we prove that the unstability of the spot (0,0,0).