本文研究了时间延迟对Logistic系统从亚稳态跃迁到稳定态的跃迁率的影响.假设在细胞演化过程中细胞衰减存在时间延迟,利用小延迟时间条件下一阶近似方法和最陡下降法导出了系统的跃迁率解析式.数值计算结果表明,内噪声,外噪声和内外噪声之间的关联促使系统从亚稳态跃迁到稳定态,而时间延迟阻碍了系统从亚稳态到稳定态的跃迁,即时间延迟增强了系统亚稳态的稳定性. In this paper, we study the effect of time delay on the transition rate from metastable state to steady state in Logistic system.It is assumed that there is time delay in cell attenuation during cell evolution, which is derived by first-order approximation method and steepest descent method under small delay time The system’s transition rate analytic formula is obtained.The numerical results show that the correlation between internal noise, external noise and internal and external noise causes the system transition from metastable state to steady state, and the time delay hinders the system from metastable state to steady state The transition, ie the time delay, enhances the stability of the system metastability.