Parameter Estimation on a Stochastic SIR Model with Media Coverage
Media coverage reduces the transmission rate from infective to susceptible individuals and is reflected by suitable nonlinear functions in mathematical modeling of the disease. We here focus on estimating the parameters in the transmission rate based on a stochastic SIR epidemic model with media cov...
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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/10.1155/2018/3187807 |
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| _version_ | 1832564777658875904 |
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| author | Changguo Li Yongzhen Pei Meixia Zhu Yue Deng |
| author_facet | Changguo Li Yongzhen Pei Meixia Zhu Yue Deng |
| author_sort | Changguo Li |
| collection | DOAJ |
| description | Media coverage reduces the transmission rate from infective to susceptible individuals and is reflected by suitable nonlinear functions in mathematical modeling of the disease. We here focus on estimating the parameters in the transmission rate based on a stochastic SIR epidemic model with media coverage. In order to reduce the computational load, the Newton-Raphson algorithm and Markov Chain Monte Carlo (MCMC) technique are incorporated with maximum likelihood estimation. Simulations validate our estimation results and the necessity of a model with media coverage when modeling the contagious diseases. |
| format | Article |
| id | doaj-art-b968d917c3664159adb26e672749814d |
| institution | Kabale University |
| 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-b968d917c3664159adb26e672749814d2025-02-03T01:10:11ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/31878073187807Parameter Estimation on a Stochastic SIR Model with Media CoverageChangguo Li0Yongzhen Pei1Meixia Zhu2Yue Deng3Department of Basic Science, Army Military Transportation University, Tianjin 300161, ChinaSchool of Science, Tianjin Polytechnic University, Tianjin 300161, ChinaSchool of Science, Tianjin Polytechnic University, Tianjin 300161, ChinaSchool of Science, Tianjin Polytechnic University, Tianjin 300161, ChinaMedia coverage reduces the transmission rate from infective to susceptible individuals and is reflected by suitable nonlinear functions in mathematical modeling of the disease. We here focus on estimating the parameters in the transmission rate based on a stochastic SIR epidemic model with media coverage. In order to reduce the computational load, the Newton-Raphson algorithm and Markov Chain Monte Carlo (MCMC) technique are incorporated with maximum likelihood estimation. Simulations validate our estimation results and the necessity of a model with media coverage when modeling the contagious diseases.http://dx.doi.org/10.1155/2018/3187807 |
| spellingShingle | Changguo Li Yongzhen Pei Meixia Zhu Yue Deng Parameter Estimation on a Stochastic SIR Model with Media Coverage Discrete Dynamics in Nature and Society |
| title | Parameter Estimation on a Stochastic SIR Model with Media Coverage |
| title_full | Parameter Estimation on a Stochastic SIR Model with Media Coverage |
| title_fullStr | Parameter Estimation on a Stochastic SIR Model with Media Coverage |
| title_full_unstemmed | Parameter Estimation on a Stochastic SIR Model with Media Coverage |
| title_short | Parameter Estimation on a Stochastic SIR Model with Media Coverage |
| title_sort | parameter estimation on a stochastic sir model with media coverage |
| url | http://dx.doi.org/10.1155/2018/3187807 |
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