Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10480875 | Physica A: Statistical Mechanics and its Applications | 2013 | 12 Pages |
Abstract
An SIS network model incorporating the influence of media coverage on transmission rate is formulated and analyzed. We calculate the basic reproduction number R0 by utilizing the local stability of the disease-free equilibrium. Our results show that the disease-free equilibrium is globally asymptotically stable and that the disease dies out if R0 is below 1; otherwise, the disease will persist and converge to a unique positive stationary state. This result may suggest effective control strategies to prevent disease through media coverage and education activities in finite-size scale-free networks. Numerical simulations are also performed to illustrate our results and to give more insights into the dynamical process.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Yi Wang, Jinde Cao, Zhen Jin, Haifeng Zhang, Gui-Quan Sun,