Epidemic dynamics on semi-directed complex networks |
| |
| Authors: | Xiaoguang Zhang Gui-Quan Sun Yu-Xiao Zhu Junling Ma Zhen Jin |
| |
| Institution: | 1. School of Mechatronic Engineering, North University of China, Shanxi, Taiyuan 030051, People’s Republic of China;2. Complex Systems Center, Shanxi University, Shanxi, Taiyuan 030006, People’s Republic of China;3. Department of Mathematics, North University of China, Shanxi, Taiyuan 030051, People’s Republic of China;4. Web Sciences Center, University of Electronic Science and Technology of China, Chengdu 610051, People’s Republic of China;5. Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada |
| |
| Abstract: | In this paper an SIS model for epidemic spreading on semi-directed networks is established, which can be used to examine and compare the impact of undirected and directed contacts on disease spread. The model is analyzed for the case of uncorrelated semi-directed networks, and the basic reproduction number R0 is obtained analytically. We verify that the R0 contains the outbreak threshold on undirected networks and directed networks as special cases. It is proved that if R0<1 then the disease-free equilibrium is globally asymptotically stable, otherwise the disease-free equilibrium is unstable and the unique endemic equilibrium exists, which is globally asymptotically stable. Finally the numerical simulations holds for these analytical results are given. |
| |
| Keywords: | Epidemic models Semi-directed networks Basic reproduction number Globally asymptotically stable |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
