Dynamical Behaviors of a Stochastic SIQR Epidemic Model with Quarantine-Adjusted Incidence
We study the dynamics of a stochastic SIQR epidemic disease with quarantine-adjusted incidence in this article. In order to find the sufficient conditions for the ergodicity and extermination of the model, we construct suitable stochastic Lyapunov functions and find the results of the stochastic SIQ...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/3693428 |
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| _version_ | 1850177411540320256 |
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| author | Zhongwei Cao Shengjuan Zhou |
| author_facet | Zhongwei Cao Shengjuan Zhou |
| author_sort | Zhongwei Cao |
| collection | DOAJ |
| description | We study the dynamics of a stochastic SIQR epidemic disease with quarantine-adjusted incidence in this article. In order to find the sufficient conditions for the ergodicity and extermination of the model, we construct suitable stochastic Lyapunov functions and find the results of the stochastic SIQR epidemic model. From the results, we find that when the white noise is relatively large, the infectious diseases will become extinct; this also shows that the intervention of white noise will play an important part in controlling the spread of the disease. |
| format | Article |
| id | doaj-art-bf390ef0ae4f4d0e921ad5d691d3e6da |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-bf390ef0ae4f4d0e921ad5d691d3e6da2025-08-20T02:18:58ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/36934283693428Dynamical Behaviors of a Stochastic SIQR Epidemic Model with Quarantine-Adjusted IncidenceZhongwei Cao0Shengjuan Zhou1Department of Applied Mathematics, Jilin University of Finance and Economics, Changchun 130117, ChinaCollege of Science, China University of Petroleum (East China), Qindao 266580, ChinaWe study the dynamics of a stochastic SIQR epidemic disease with quarantine-adjusted incidence in this article. In order to find the sufficient conditions for the ergodicity and extermination of the model, we construct suitable stochastic Lyapunov functions and find the results of the stochastic SIQR epidemic model. From the results, we find that when the white noise is relatively large, the infectious diseases will become extinct; this also shows that the intervention of white noise will play an important part in controlling the spread of the disease.http://dx.doi.org/10.1155/2018/3693428 |
| spellingShingle | Zhongwei Cao Shengjuan Zhou Dynamical Behaviors of a Stochastic SIQR Epidemic Model with Quarantine-Adjusted Incidence Discrete Dynamics in Nature and Society |
| title | Dynamical Behaviors of a Stochastic SIQR Epidemic Model with Quarantine-Adjusted Incidence |
| title_full | Dynamical Behaviors of a Stochastic SIQR Epidemic Model with Quarantine-Adjusted Incidence |
| title_fullStr | Dynamical Behaviors of a Stochastic SIQR Epidemic Model with Quarantine-Adjusted Incidence |
| title_full_unstemmed | Dynamical Behaviors of a Stochastic SIQR Epidemic Model with Quarantine-Adjusted Incidence |
| title_short | Dynamical Behaviors of a Stochastic SIQR Epidemic Model with Quarantine-Adjusted Incidence |
| title_sort | dynamical behaviors of a stochastic siqr epidemic model with quarantine adjusted incidence |
| url | http://dx.doi.org/10.1155/2018/3693428 |
| work_keys_str_mv | AT zhongweicao dynamicalbehaviorsofastochasticsiqrepidemicmodelwithquarantineadjustedincidence AT shengjuanzhou dynamicalbehaviorsofastochasticsiqrepidemicmodelwithquarantineadjustedincidence |