Dynamics of Epidemic Spreading in the Group-Based Multilayer Networks
The co-evolution between information and epidemic in multilayer networks has attracted wide attention. However, previous studies usually assume that two networks with the same individuals are coupled into a multiplex network, ignoring the context that the individuals of each layer in the multilayer...
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| Format: | Article |
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MDPI AG
2020-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/11/1895 |
| _version_ | 1797549196047286272 |
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| author | Dong Wang Yi Zhao Hui Leng |
| author_facet | Dong Wang Yi Zhao Hui Leng |
| author_sort | Dong Wang |
| collection | DOAJ |
| description | The co-evolution between information and epidemic in multilayer networks has attracted wide attention. However, previous studies usually assume that two networks with the same individuals are coupled into a multiplex network, ignoring the context that the individuals of each layer in the multilayer network are often different, especially in group structures with rich collective phenomena. In this paper, based on the scenario of group-based multilayer networks, we investigate the coupled UAU-SIS (Unaware-Aware-Unaware-Susceptible-Infected-Susceptible) model via microscopic Markov chain approach (MMCA). Importantly, the evolution of such transmission process with respective to various impact factors, especially for the group features, is captured by simulations. We further obtain the theoretical threshold for the onset of epidemic outbreaks and analyze its characteristics through numerical simulations. It is concluded that the growth of the group size of information (physical) layer effectively suppresses (enhances) epidemic spreading. Moreover, taking the context of epidemic immunization into account, we find that the propagation capacity and robustness of this type of network are greater than the conventional multiplex network. |
| first_indexed | 2024-03-10T15:11:16Z |
| format | Article |
| id | doaj.art-c0bbe6909fa746dc8b78dab7bbc4e7cf |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T15:11:16Z |
| publishDate | 2020-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-c0bbe6909fa746dc8b78dab7bbc4e7cf2023-11-20T19:19:05ZengMDPI AGMathematics2227-73902020-10-01811189510.3390/math8111895Dynamics of Epidemic Spreading in the Group-Based Multilayer NetworksDong Wang0Yi Zhao1Hui Leng2School of Science, Harbin Institute of Technology (Shenzhen), Shenzhen 518055, ChinaSchool of Science, Harbin Institute of Technology (Shenzhen), Shenzhen 518055, ChinaSchool of Science, Harbin Institute of Technology (Shenzhen), Shenzhen 518055, ChinaThe co-evolution between information and epidemic in multilayer networks has attracted wide attention. However, previous studies usually assume that two networks with the same individuals are coupled into a multiplex network, ignoring the context that the individuals of each layer in the multilayer network are often different, especially in group structures with rich collective phenomena. In this paper, based on the scenario of group-based multilayer networks, we investigate the coupled UAU-SIS (Unaware-Aware-Unaware-Susceptible-Infected-Susceptible) model via microscopic Markov chain approach (MMCA). Importantly, the evolution of such transmission process with respective to various impact factors, especially for the group features, is captured by simulations. We further obtain the theoretical threshold for the onset of epidemic outbreaks and analyze its characteristics through numerical simulations. It is concluded that the growth of the group size of information (physical) layer effectively suppresses (enhances) epidemic spreading. Moreover, taking the context of epidemic immunization into account, we find that the propagation capacity and robustness of this type of network are greater than the conventional multiplex network.https://www.mdpi.com/2227-7390/8/11/1895spreading dynamicsgroup-based networksMMCAcollective phenomenonrobustness |
| spellingShingle | Dong Wang Yi Zhao Hui Leng Dynamics of Epidemic Spreading in the Group-Based Multilayer Networks Mathematics spreading dynamics group-based networks MMCA collective phenomenon robustness |
| title | Dynamics of Epidemic Spreading in the Group-Based Multilayer Networks |
| title_full | Dynamics of Epidemic Spreading in the Group-Based Multilayer Networks |
| title_fullStr | Dynamics of Epidemic Spreading in the Group-Based Multilayer Networks |
| title_full_unstemmed | Dynamics of Epidemic Spreading in the Group-Based Multilayer Networks |
| title_short | Dynamics of Epidemic Spreading in the Group-Based Multilayer Networks |
| title_sort | dynamics of epidemic spreading in the group based multilayer networks |
| topic | spreading dynamics group-based networks MMCA collective phenomenon robustness |
| url | https://www.mdpi.com/2227-7390/8/11/1895 |
| work_keys_str_mv | AT dongwang dynamicsofepidemicspreadinginthegroupbasedmultilayernetworks AT yizhao dynamicsofepidemicspreadinginthegroupbasedmultilayernetworks AT huileng dynamicsofepidemicspreadinginthegroupbasedmultilayernetworks |