Stochastic Epidemic Model for COVID-19 Transmission under Intervention Strategies in China
In this paper, we discuss an EIQJR model with stochastic perturbation. First, a globally positive solution of the proposed model has been discussed. In addition, the global asymptotic stability and exponential mean-square stability of the disease-free equilibrium have been proven under suitable cond...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/17/3119 |
| _version_ | 1797494359444160512 |
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| author | Zin Thu Win Mahmoud A. Eissa Boping Tian |
| author_facet | Zin Thu Win Mahmoud A. Eissa Boping Tian |
| author_sort | Zin Thu Win |
| collection | DOAJ |
| description | In this paper, we discuss an EIQJR model with stochastic perturbation. First, a globally positive solution of the proposed model has been discussed. In addition, the global asymptotic stability and exponential mean-square stability of the disease-free equilibrium have been proven under suitable conditions for our model. This means that the disease will die over time. We investigate the asymptotic behavior around the endemic equilibrium of the deterministic model to show when the disease will prevail. Constructing a suitable Lyapunov functional method is crucial to our investigation. Parameter estimations and numerical simulations are performed to depict the transmission process of COVID-19 pandemic in China and to support analytical results. |
| first_indexed | 2024-03-10T01:33:09Z |
| format | Article |
| id | doaj.art-f4f2d943fb5b422faeec3cbded46fd38 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T01:33:09Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-f4f2d943fb5b422faeec3cbded46fd382023-11-23T13:38:44ZengMDPI AGMathematics2227-73902022-08-011017311910.3390/math10173119Stochastic Epidemic Model for COVID-19 Transmission under Intervention Strategies in ChinaZin Thu Win0Mahmoud A. Eissa1Boping Tian2School of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics and Computer Science, Faculty of Science, Menoufia University, Menoufia 32511, EgyptSchool of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaIn this paper, we discuss an EIQJR model with stochastic perturbation. First, a globally positive solution of the proposed model has been discussed. In addition, the global asymptotic stability and exponential mean-square stability of the disease-free equilibrium have been proven under suitable conditions for our model. This means that the disease will die over time. We investigate the asymptotic behavior around the endemic equilibrium of the deterministic model to show when the disease will prevail. Constructing a suitable Lyapunov functional method is crucial to our investigation. Parameter estimations and numerical simulations are performed to depict the transmission process of COVID-19 pandemic in China and to support analytical results.https://www.mdpi.com/2227-7390/10/17/3119stochastic endemic modelpandemic COVID-19disease-free equilibriumendemic equilibriumasymptotic behaviorstochastic Lyapunov function |
| spellingShingle | Zin Thu Win Mahmoud A. Eissa Boping Tian Stochastic Epidemic Model for COVID-19 Transmission under Intervention Strategies in China Mathematics stochastic endemic model pandemic COVID-19 disease-free equilibrium endemic equilibrium asymptotic behavior stochastic Lyapunov function |
| title | Stochastic Epidemic Model for COVID-19 Transmission under Intervention Strategies in China |
| title_full | Stochastic Epidemic Model for COVID-19 Transmission under Intervention Strategies in China |
| title_fullStr | Stochastic Epidemic Model for COVID-19 Transmission under Intervention Strategies in China |
| title_full_unstemmed | Stochastic Epidemic Model for COVID-19 Transmission under Intervention Strategies in China |
| title_short | Stochastic Epidemic Model for COVID-19 Transmission under Intervention Strategies in China |
| title_sort | stochastic epidemic model for covid 19 transmission under intervention strategies in china |
| topic | stochastic endemic model pandemic COVID-19 disease-free equilibrium endemic equilibrium asymptotic behavior stochastic Lyapunov function |
| url | https://www.mdpi.com/2227-7390/10/17/3119 |
| work_keys_str_mv | AT zinthuwin stochasticepidemicmodelforcovid19transmissionunderinterventionstrategiesinchina AT mahmoudaeissa stochasticepidemicmodelforcovid19transmissionunderinterventionstrategiesinchina AT bopingtian stochasticepidemicmodelforcovid19transmissionunderinterventionstrategiesinchina |