Stochastic Dynamics Analysis of Epidemic Models Considering Negative Feedback of Information
In this article, we mainly consider the dynamic analysis of a stochastic infectious disease model with negative feedback, a symmetric and compatible distribution family. Based on the sir epidemic model taking into account the isolation (y) and the death (v), we consider adding a new variable (w) to...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-09-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/9/1781 |
| _version_ | 1797576547762176000 |
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| author | Wanqin Wu Wenhui Luo Hui Chen Yun Zhao |
| author_facet | Wanqin Wu Wenhui Luo Hui Chen Yun Zhao |
| author_sort | Wanqin Wu |
| collection | DOAJ |
| description | In this article, we mainly consider the dynamic analysis of a stochastic infectious disease model with negative feedback, a symmetric and compatible distribution family. Based on the sir epidemic model taking into account the isolation (y) and the death (v), we consider adding a new variable (w) to control the information of non-drug interventions, which measures transformations in isolation performance that determine the epidemic, and establish a new model. We have demonstrated various properties of the model solution using Lyapunov functions for this model. To begin with, we demonstrate the existence and uniqueness of the global positive solution. After that, we obtained the conditions that need to be met for the extinction of the disease and verified the correctness of the conclusion by simulating numerical values. Afterwards, we prove the stochastic boundedness and stationary distribution of the model solution. |
| first_indexed | 2024-03-10T21:54:35Z |
| format | Article |
| id | doaj.art-791f1a83efbd4864b5326f201d2605fd |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T21:54:35Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-791f1a83efbd4864b5326f201d2605fd2023-11-19T13:12:35ZengMDPI AGSymmetry2073-89942023-09-01159178110.3390/sym15091781Stochastic Dynamics Analysis of Epidemic Models Considering Negative Feedback of InformationWanqin Wu0Wenhui Luo1Hui Chen2Yun Zhao3Department of Mathematics, Yunnan Minzu University, 2929, Yuehua Street, Chenggong District, Kunming 650500, ChinaDepartment of Mathematics, Yunnan Minzu University, 2929, Yuehua Street, Chenggong District, Kunming 650500, ChinaDepartment of Mathematics, Yunnan Minzu University, 2929, Yuehua Street, Chenggong District, Kunming 650500, ChinaDepartment of Mathematics, Yunnan Minzu University, 2929, Yuehua Street, Chenggong District, Kunming 650500, ChinaIn this article, we mainly consider the dynamic analysis of a stochastic infectious disease model with negative feedback, a symmetric and compatible distribution family. Based on the sir epidemic model taking into account the isolation (y) and the death (v), we consider adding a new variable (w) to control the information of non-drug interventions, which measures transformations in isolation performance that determine the epidemic, and establish a new model. We have demonstrated various properties of the model solution using Lyapunov functions for this model. To begin with, we demonstrate the existence and uniqueness of the global positive solution. After that, we obtained the conditions that need to be met for the extinction of the disease and verified the correctness of the conclusion by simulating numerical values. Afterwards, we prove the stochastic boundedness and stationary distribution of the model solution.https://www.mdpi.com/2073-8994/15/9/1781epidemic modelnegative feedbackextinctionrandom boundednessstationary distribution |
| spellingShingle | Wanqin Wu Wenhui Luo Hui Chen Yun Zhao Stochastic Dynamics Analysis of Epidemic Models Considering Negative Feedback of Information Symmetry epidemic model negative feedback extinction random boundedness stationary distribution |
| title | Stochastic Dynamics Analysis of Epidemic Models Considering Negative Feedback of Information |
| title_full | Stochastic Dynamics Analysis of Epidemic Models Considering Negative Feedback of Information |
| title_fullStr | Stochastic Dynamics Analysis of Epidemic Models Considering Negative Feedback of Information |
| title_full_unstemmed | Stochastic Dynamics Analysis of Epidemic Models Considering Negative Feedback of Information |
| title_short | Stochastic Dynamics Analysis of Epidemic Models Considering Negative Feedback of Information |
| title_sort | stochastic dynamics analysis of epidemic models considering negative feedback of information |
| topic | epidemic model negative feedback extinction random boundedness stationary distribution |
| url | https://www.mdpi.com/2073-8994/15/9/1781 |
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