Analysis of a novel stochastic SIRS epidemic model with two different saturated incidence rates

作者：Chang, Zhengbo; Meng, Xinzhu^*; Lu, Xiao

来源：Physica A: Statistical Mechanics and Its Applications , 2017, 472: 103-116.

DOI：10.1016/j.physa.2017.01.015

• Stochastic epidemic model
• Stochastic dynamics
• Ito's formula
• Nonlinear incidence rate
• Persistence in mean

This paper presents a stochastic SIRS epidemic model with two different nonlinear incidence rates and double epidemic asymmetrical hypothesis, and we devote to develop a mathematical method to obtain the threshold of the stochastic epidemic model. We firstly investigate the boundness and extinction of the stochastic system. Furthermore, we use Ito's formula, the comparison theorem and some new inequalities techniques of stochastic differential systems to discuss persistence in mean of two diseases on three cases. The results indicate that stochastic fluctuations can suppress the disease outbreak. Finally, numerical simulations about different noise disturbance coefficients are carried out to illustrate the obtained theoretical results.

• 出版日期2017-4-15
• 单位山东科技大学