Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7376310 | Physica A: Statistical Mechanics and its Applications | 2018 | 9 Pages |
Abstract
In this paper, we study the dynamics of a stochastic delayed SIR epidemic model with vaccination and double diseases which make the research more complex. The environment variability in this paper is characterized by white noise and Lévy noise. We establish sufficient conditions for extinction and persistence in the mean of the two epidemic diseases. It is shown that: (i) time delay and Lévy noise have important effects on the persistence and extinction of epidemic diseases; (ii) two diseases can coexist under certain conditions.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Qun Liu, Daqing Jiang, Ningzhong Shi, Tasawar Hayat,