Analysis of novel stochastic switched SILI epidemic models with continuous and impulsive control

作者：Gao, Shujing; Zhong, Deming^*; Zhang, Yan

来源：Physica A: Statistical Mechanics and Its Applications , 2018, 495: 162-171.

DOI：10.1016/j.physa.2017.12.050

• Stochastic switched model
• Pulse vaccination
• Lyapunov-Razumikhin method
• Global attractivity

In this paper, we establish two new stochastic switched epidemic models with continuous and impulsive control. The stochastic perturbations are considered for the natural death rate in each equation of the models. Firstly, a stochastic switched SILT model with-continuous control schemes is investigated. By using Lyapunov-Razumikhin method, the sufficient conditions for extinction in mean are established. Our result shows that the disease could be die out theoretically if threshold value R is less than one, regardless of whether the disease-free solutions of the corresponding subsystems are stable or unstable. Then, a stochastic switched SILL model with continuous control schemes and pulse vaccination is studied. The threshold value R is derived. The global attractivity of the model is also obtained. At last, numerical simulations are carried out to support our results.

• 出版日期2018-4-1
• 单位赣南师范大学; 北京航空航天大学