Mathematical Modeling and Computational Issues of Dengue Epidemic

碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 106 === Tainan experienced severe dengue epidemics in 2015. According to the open data, some interesting issues are found. We use Susceptible - Exposed - Infected - Recovered (SEIR) model and adjust the parameters in the effective contact rate to fit historical data...

Full description

Bibliographic Details
Main Authors: Yu-HsunLee, 李昱勳
Other Authors: Yu-Chen Shu
Format: Others
Language:en_US
Published: 2018
Online Access:http://ndltd.ncl.edu.tw/handle/k6ayjz
Description
Summary:碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 106 === Tainan experienced severe dengue epidemics in 2015. According to the open data, some interesting issues are found. We use Susceptible - Exposed - Infected - Recovered (SEIR) model and adjust the parameters in the effective contact rate to fit historical data. By comparing the trend of the optimized effective contact rate and the dates of the epidemic prevention works by the government, the decay after prevention works gives a positive evidence for those works of government. We also compare the severity of each districts, and the relationship between the trend of epidemics and the chemical prevention is found. In the future, we will integrate the multi-scale method with different information, such as geographic map, social information, and climate to establish a multi-scale heterogeneous epidemic model and discuss its computational efficiency and related error analysis.