1. Parameter Estimation on a Stochastic SIR Model with Media Coverage.
- Author
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Li, Changguo, Pei, Yongzhen, Zhu, Meixia, and Deng, Yue
- Subjects
- *
DISEASES , *INFECTIOUS disease transmission , *PARAMETER estimation , *STOCHASTIC analysis , *NONLINEAR functions , *MATHEMATICAL models - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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