- 收稿日期: 2018-08-30
- 录用日期: 2019-04-11
Analysis of the Asymptotic Properties of a Stochastic Glucose-insulin Regulation System
- Received Date: 2018-08-30
- Accepted Date: 2019-04-11
Abstract: A stochastic glucose-insulin regulation system with the perturbation of white noise is investigated. The existence and uniqueness of the positive solution of the system is proved. The asymptotic properties of the positive solution are investigated. There is not a positive equilibrium point for the stochastic system after adding stochastic perturbations to the associated deterministic system. In order to discuss the stability of the system, it is proved that under certain conditions, the solution of the stochastic system will vibrate randomly around the positive equilibrium point of the deterministic system, respectively, and the intensity of this vibration depends on the intensity of the white noise. In addition, the influence of the white noise on system stability is discussed by numerical simulation.