Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7375566 | Physica A: Statistical Mechanics and its Applications | 2018 | 10 Pages |
Abstract
In this paper, the threshold behavior of a susceptible-infected-recovered (SIR) epidemic model with stochastic perturbation is investigated. Firstly, it is obtained that the system has a unique global positive solution with any positive initial value. Random effect may lead to disease extinction under a simple condition. Subsequently, sufficient condition for persistence has been established in the mean of the disease. Finally, some numerical simulations are carried out to confirm the analytical results.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Yue Zhang, Yang Li, Qingling Zhang, Aihua Li,