Dynamics of a stochastic tuberculosis model with constant recruitment and varying total population size

作者：Liu, Qun; Jiang, Daqing^*; Shi, Ningzhong; Hayat, Tasawar; Alsaedi, Ahmed

来源：Physica A: Statistical Mechanics and Its Applications , 2017, 469: 518-530.

DOI：10.1016/j.physa.2016.11.053

• Stochastic tuberculosis model
• Stationary distribution
• Extinction
• Lyapunov function

In this paper, we develop a mathematical model for a tuberculosis model with constant recruitment and varying total population size by incorporating stochastic perturbations. By constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of an ergodic stationary distribution as well as extinction of the disease to the stochastic system.

• 出版日期2017-3-1
• 单位玉林师范学院; 东北师范大学; 中国石油大学（华东）; 广西大学