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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Main Authors: Li Li, Li-Xia Du, Ziheng Yan, Jie Zhang, Yong-Ping Wu
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/9172835
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spelling 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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