Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11023301 | Physica A: Statistical Mechanics and its Applications | 2019 | 25 Pages |
Abstract
This study investigates the disease dynamics of a SIRS epidemic model as affected by environment fluctuations and media coverage. A unique global positive solution for the epidemic model is obtained. The stochastic endemic dynamics of the system is discussed by constructing suitable Lyapunov functions, and the ergodic stationary distribution of the stochastic model is established based on the method of Khasminskii. The extinction of the epidemic disease is also analyzed.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Yan Zhang, Kuangang Fan, Shujing Gao, Yingfen Liu, Shihua Chen,