A Method for Parameters Estimation in a Dynamical Model of Ebola Virus Transmission in Sierra Leone
Ebola is an infectious virus that causes Ebola hemorrhagic fever in primates and humans, which was first found in 1976. The Ebola virus outbreak in West Africa in 2014 was the largest ever. A lot of researchers use mathematical models to analyze the characteristics of infectious diseases. However, m...
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doaj-3bb2aab519c6480e9873862cb855e4452020-11-25T01:23:06ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/91728359172835A Method for Parameters Estimation in a Dynamical Model of Ebola Virus Transmission in Sierra LeoneLi Li0Li-Xia Du1Ziheng Yan2Jie Zhang3Yong-Ping Wu4School of Computer and Information Technology, Shanxi University, Taiyuan 030006, Shanxi, ChinaSchool of Computer and Information Technology, Shanxi University, Taiyuan 030006, Shanxi, ChinaChang’an University, Middle Section of Nan’er Huan Road, Xi’an, Shannxi 710064, ChinaSchool of Computer and Information Technology, Shanxi University, Taiyuan 030006, Shanxi, ChinaCollege of Physics Science and Technology, Yangzhou University, Yangzhou, Jiangsu 225002, ChinaEbola is an infectious virus that causes Ebola hemorrhagic fever in primates and humans, which was first found in 1976. The Ebola virus outbreak in West Africa in 2014 was the largest ever. A lot of researchers use mathematical models to analyze the characteristics of infectious diseases. However, many parameters in the model cannot be estimated completely. To ease the difficulty, we proposed an approach to estimate the parameter based on genetic algorithm (GA). GA uses the natural selection method of the fittest to find the optimal solution of the model. The least residual squares sum is used as fitness function to measure the performance of GA in parameter estimation. Moreover, we used a dynamical model and the real data of Ebola in Sierra Leone to verify the validity of GA. The experimental results indicate that the GA has strong competitiveness compared with the classical method, and it is a feasible method for estimating the parameters of infectious disease models.http://dx.doi.org/10.1155/2020/9172835 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Li Li Li-Xia Du Ziheng Yan Jie Zhang Yong-Ping Wu |
spellingShingle |
Li Li Li-Xia Du Ziheng Yan Jie Zhang Yong-Ping Wu A Method for Parameters Estimation in a Dynamical Model of Ebola Virus Transmission in Sierra Leone Complexity |
author_facet |
Li Li Li-Xia Du Ziheng Yan Jie Zhang Yong-Ping Wu |
author_sort |
Li Li |
title |
A Method for Parameters Estimation in a Dynamical Model of Ebola Virus Transmission in Sierra Leone |
title_short |
A Method for Parameters Estimation in a Dynamical Model of Ebola Virus Transmission in Sierra Leone |
title_full |
A Method for Parameters Estimation in a Dynamical Model of Ebola Virus Transmission in Sierra Leone |
title_fullStr |
A Method for Parameters Estimation in a Dynamical Model of Ebola Virus Transmission in Sierra Leone |
title_full_unstemmed |
A Method for Parameters Estimation in a Dynamical Model of Ebola Virus Transmission in Sierra Leone |
title_sort |
method for parameters estimation in a dynamical model of ebola virus transmission in sierra leone |
publisher |
Hindawi-Wiley |
series |
Complexity |
issn |
1076-2787 1099-0526 |
publishDate |
2020-01-01 |
description |
Ebola is an infectious virus that causes Ebola hemorrhagic fever in primates and humans, which was first found in 1976. The Ebola virus outbreak in West Africa in 2014 was the largest ever. A lot of researchers use mathematical models to analyze the characteristics of infectious diseases. However, many parameters in the model cannot be estimated completely. To ease the difficulty, we proposed an approach to estimate the parameter based on genetic algorithm (GA). GA uses the natural selection method of the fittest to find the optimal solution of the model. The least residual squares sum is used as fitness function to measure the performance of GA in parameter estimation. Moreover, we used a dynamical model and the real data of Ebola in Sierra Leone to verify the validity of GA. The experimental results indicate that the GA has strong competitiveness compared with the classical method, and it is a feasible method for estimating the parameters of infectious disease models. |
url |
http://dx.doi.org/10.1155/2020/9172835 |
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