Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5102594 | Physica A: Statistical Mechanics and its Applications | 2017 | 24 Pages |
Abstract
In this paper, we investigate the basic features of an SIS type infectious disease model with varying population size and vaccinations in presence of environment noise. By applying the Markov semigroup theory, we propose a stochastic reproduction number R0s which can be seen as a threshold parameter to utilize in identifying the stochastic extinction and persistence: If R0s<1, under some mild extra conditions, there exists a disease-free absorbing set for the stochastic epidemic model, which implies that disease dies out with probability one; while if R0s>1, under some mild extra conditions, the SDE model has an endemic stationary distribution which results in the stochastic persistence of the infectious disease. The most interesting finding is that large environmental noise can suppress the outbreak of the disease.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Boqiang Cao, Meijing Shan, Qimin Zhang, Weiming Wang,