Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7377044 | Physica A: Statistical Mechanics and its Applications | 2016 | 21 Pages |
Abstract
We discuss the effect of introducing telegraph noise, which is an example of an environmental noise, into the susceptible-infectious-recovered-susceptible (SIRS) model by examining the model using a finite-state Markov Chain (MC). First we start with a two-state MC and show that there exists a unique nonnegative solution and establish the conditions for extinction and persistence. We then explain how the results can be generalised to a finite-state MC. The results for the SIR (Susceptible-Infectious-Removed) model with Markovian Switching (MS) are a special case. Numerical simulations are produced to confirm our theoretical results.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
D. Greenhalgh, Y. Liang, X. Mao,