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Impact of media coverage on epidemic spreading in complex networks |
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| Authors: | Yi Wang Jinde Cao Zhen Jin Haifeng Zhang Gui-Quan Sun |
| Affiliation: | 1. Research Center for Complex Systems and Network Sciences and Department of Mathematics, Southeast University, Nanjing, Jiang’su 210096, People’s Republic of China;2. Department of Mathematics, North University of China, Taiyuan, Shan’xi 030051, People’s Republic of China;3. School of Mathematics and Computational Science, Anhui University, Hefei, Anhui 230039, People’s Republic of China;4. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
| 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. |
| Keywords: | Basic reproduction number Media coverage Complex networks Global stability |
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