Effect of adaptive rewiring delay in an SIS network epidemic model
In the real world, in order to avoid the infection risk, people tend to cut off the links with their infected neighbors, then look for other susceptible individuals to rewire. However, the rewiring process does not occur immediately, but takes some time. We therefore establish a delayed SIS network...
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| Format: | Article |
| Language: | English |
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AIMS Press
2019-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/10.3934/mbe.2019407?viewType=HTML |
| _version_ | 1818011030673948672 |
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| author | Jing Li Zhen Jin Yuan Yuan |
| author_facet | Jing Li Zhen Jin Yuan Yuan |
| author_sort | Jing Li |
| collection | DOAJ |
| description | In the real world, in order to avoid the infection risk, people tend to cut off the links with their infected neighbors, then look for other susceptible individuals to rewire. However, the rewiring process does not occur immediately, but takes some time. We therefore establish a delayed SIS network model with adaptive rewiring mechanism and analyze the long-term steady states for the system with and without the rewiring delay. We find that with the rewiring time, there are infinite equilibria lie on a line in a high-dimensional state space, which is quite different from normal delayed model. The numerical simulation results show that the system approaches to different steady state on the line under the same initial values and different rewiring delays, and the stable limit cycle can appear with the increase of rewiring delay. These surprising results may provide new insights into the study of delayed network epidemic model. |
| first_indexed | 2024-04-14T06:02:09Z |
| format | Article |
| id | doaj.art-ea7afc5b90ec4ecca358eebcb4d3834a |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-04-14T06:02:09Z |
| publishDate | 2019-09-01 |
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| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-ea7afc5b90ec4ecca358eebcb4d3834a2022-12-22T02:08:42ZengAIMS PressMathematical Biosciences and Engineering1551-00182019-09-011668092810810.3934/mbe.2019407Effect of adaptive rewiring delay in an SIS network epidemic modelJing Li 0Zhen Jin1Yuan Yuan21. School of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan Shanxi 030006, China; 2. Complex Systems Research Center, Shanxi University, Taiyuan Shanxi 030006, China; 3. Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention, Shanxi University, Taiyuan, Shanxi 030006, China2. Complex Systems Research Center, Shanxi University, Taiyuan Shanxi 030006, China; 3. Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention, Shanxi University, Taiyuan, Shanxi 030006, China2. Complex Systems Research Center, Shanxi University, Taiyuan Shanxi 030006, China 4. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, A1C 5S7, CanadaIn the real world, in order to avoid the infection risk, people tend to cut off the links with their infected neighbors, then look for other susceptible individuals to rewire. However, the rewiring process does not occur immediately, but takes some time. We therefore establish a delayed SIS network model with adaptive rewiring mechanism and analyze the long-term steady states for the system with and without the rewiring delay. We find that with the rewiring time, there are infinite equilibria lie on a line in a high-dimensional state space, which is quite different from normal delayed model. The numerical simulation results show that the system approaches to different steady state on the line under the same initial values and different rewiring delays, and the stable limit cycle can appear with the increase of rewiring delay. These surprising results may provide new insights into the study of delayed network epidemic model.https://www.aimspress.com/article/10.3934/mbe.2019407?viewType=HTMLsis network epidemic modeladaptive rewiringtime delayline equilibria |
| spellingShingle | Jing Li Zhen Jin Yuan Yuan Effect of adaptive rewiring delay in an SIS network epidemic model Mathematical Biosciences and Engineering sis network epidemic model adaptive rewiring time delay line equilibria |
| title | Effect of adaptive rewiring delay in an SIS network epidemic model |
| title_full | Effect of adaptive rewiring delay in an SIS network epidemic model |
| title_fullStr | Effect of adaptive rewiring delay in an SIS network epidemic model |
| title_full_unstemmed | Effect of adaptive rewiring delay in an SIS network epidemic model |
| title_short | Effect of adaptive rewiring delay in an SIS network epidemic model |
| title_sort | effect of adaptive rewiring delay in an sis network epidemic model |
| topic | sis network epidemic model adaptive rewiring time delay line equilibria |
| url | https://www.aimspress.com/article/10.3934/mbe.2019407?viewType=HTML |
| work_keys_str_mv | AT jingli effectofadaptiverewiringdelayinansisnetworkepidemicmodel AT zhenjin effectofadaptiverewiringdelayinansisnetworkepidemicmodel AT yuanyuan effectofadaptiverewiringdelayinansisnetworkepidemicmodel |