SEIRS model for virus spreading with time delay
In view of the latent characteristic of virus, the escaped state is considered in the model of virus spreading and employed to describe the state of nodes that are infected but not activated. A novelSusceptible–Escaped–Infected–Removed–Susceptible (SEIRS) model with delay is presented for virus spre...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2018-01-01
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| Series: | MATEC Web of Conferences |
| Online Access: | https://doi.org/10.1051/matecconf/201817302042 |
| _version_ | 1818418937469075456 |
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| author | Lu Shi-wei Wang Gang Chen Tong-rui Ma Run-nian |
| author_facet | Lu Shi-wei Wang Gang Chen Tong-rui Ma Run-nian |
| author_sort | Lu Shi-wei |
| collection | DOAJ |
| description | In view of the latent characteristic of virus, the escaped state is considered in the model of virus spreading and employed to describe the state of nodes that are infected but not activated. A novelSusceptible–Escaped–Infected–Removed–Susceptible (SEIRS) model with delay is presented for virus spreading based on the escaped mechanism. In the proposed model, time delay, as an important factor, is considered in the infection stage, as well as the node degree of network. Thereafter, system dynamics equations are derived for the model, and the stable condition of the system is investigated via the criterion of Routh-Hurwitz stability. Finally, simulations are demonstrated to illustrate the proposedmodel and its performance. |
| first_indexed | 2024-12-14T12:30:37Z |
| format | Article |
| id | doaj.art-2cf6c72c6d4a41e9b4c166fe5b6d3372 |
| institution | Directory Open Access Journal |
| issn | 2261-236X |
| language | English |
| last_indexed | 2024-12-14T12:30:37Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | MATEC Web of Conferences |
| spelling | doaj.art-2cf6c72c6d4a41e9b4c166fe5b6d33722022-12-21T23:01:11ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-011730204210.1051/matecconf/201817302042matecconf_smima2018_02042SEIRS model for virus spreading with time delayLu Shi-weiWang GangChen Tong-ruiMa Run-nianIn view of the latent characteristic of virus, the escaped state is considered in the model of virus spreading and employed to describe the state of nodes that are infected but not activated. A novelSusceptible–Escaped–Infected–Removed–Susceptible (SEIRS) model with delay is presented for virus spreading based on the escaped mechanism. In the proposed model, time delay, as an important factor, is considered in the infection stage, as well as the node degree of network. Thereafter, system dynamics equations are derived for the model, and the stable condition of the system is investigated via the criterion of Routh-Hurwitz stability. Finally, simulations are demonstrated to illustrate the proposedmodel and its performance.https://doi.org/10.1051/matecconf/201817302042 |
| spellingShingle | Lu Shi-wei Wang Gang Chen Tong-rui Ma Run-nian SEIRS model for virus spreading with time delay MATEC Web of Conferences |
| title | SEIRS model for virus spreading with time delay |
| title_full | SEIRS model for virus spreading with time delay |
| title_fullStr | SEIRS model for virus spreading with time delay |
| title_full_unstemmed | SEIRS model for virus spreading with time delay |
| title_short | SEIRS model for virus spreading with time delay |
| title_sort | seirs model for virus spreading with time delay |
| url | https://doi.org/10.1051/matecconf/201817302042 |
| work_keys_str_mv | AT lushiwei seirsmodelforvirusspreadingwithtimedelay AT wanggang seirsmodelforvirusspreadingwithtimedelay AT chentongrui seirsmodelforvirusspreadingwithtimedelay AT marunnian seirsmodelforvirusspreadingwithtimedelay |