Dynamical Analysis of an SEIT Epidemic Model with Application to Ebola Virus Transmission in Guinea

Dynamical Analysis of an SEIT Epidemic Model with Application to Ebola Virus Transmission in Guinea

In order to investigate the transmission mechanism of the infectious individual with Ebola virus, we establish an SEIT (susceptible, exposed in the latent period, infectious, and treated/recovery) epidemic model. The basic reproduction number is defined. The mathematical analysis on the existence an...

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Main Authors: Zhiming Li, Zhidong Teng, Xiaomei Feng, Yingke Li, Huiguo Zhang
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Computational and Mathematical Methods in Medicine
Online Access:http://dx.doi.org/10.1155/2015/582625
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spelling doaj-f32c80ea64dd419c94941ab47a74ba0e2020-11-24T23:15:12ZengHindawi LimitedComputational and Mathematical Methods in Medicine1748-670X1748-67182015-01-01201510.1155/2015/582625582625Dynamical Analysis of an SEIT Epidemic Model with Application to Ebola Virus Transmission in GuineaZhiming Li0Zhidong Teng1Xiaomei Feng2Yingke Li3Huiguo Zhang4College of Mathematics and System Sciences, Xinjiang University, Urumqi 834800, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 834800, ChinaDepartment of Mathematics, Yuncheng University, Yuncheng 044000, ChinaCollege of Mathematics and Physics, Xinjiang Agricultural University, Urumqi 830052, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 834800, ChinaIn order to investigate the transmission mechanism of the infectious individual with Ebola virus, we establish an SEIT (susceptible, exposed in the latent period, infectious, and treated/recovery) epidemic model. The basic reproduction number is defined. The mathematical analysis on the existence and stability of the disease-free equilibrium and endemic equilibrium is given. As the applications of the model, we use the recognized infectious and death cases in Guinea to estimate parameters of the model by the least square method. With suitable parameter values, we obtain the estimated value of the basic reproduction number and analyze the sensitivity and uncertainty property by partial rank correlation coefficients.http://dx.doi.org/10.1155/2015/582625
collection DOAJ
language English
format Article
sources DOAJ
author Zhiming Li
Zhidong Teng
Xiaomei Feng
Yingke Li
Huiguo Zhang
spellingShingle Zhiming Li
Zhidong Teng
Xiaomei Feng
Yingke Li
Huiguo Zhang
Dynamical Analysis of an SEIT Epidemic Model with Application to Ebola Virus Transmission in Guinea
Computational and Mathematical Methods in Medicine
author_facet Zhiming Li
Zhidong Teng
Xiaomei Feng
Yingke Li
Huiguo Zhang
author_sort Zhiming Li
title Dynamical Analysis of an SEIT Epidemic Model with Application to Ebola Virus Transmission in Guinea
title_short Dynamical Analysis of an SEIT Epidemic Model with Application to Ebola Virus Transmission in Guinea
title_full Dynamical Analysis of an SEIT Epidemic Model with Application to Ebola Virus Transmission in Guinea
title_fullStr Dynamical Analysis of an SEIT Epidemic Model with Application to Ebola Virus Transmission in Guinea
title_full_unstemmed Dynamical Analysis of an SEIT Epidemic Model with Application to Ebola Virus Transmission in Guinea
title_sort dynamical analysis of an seit epidemic model with application to ebola virus transmission in guinea
publisher Hindawi Limited
series Computational and Mathematical Methods in Medicine
issn 1748-670X
1748-6718
publishDate 2015-01-01
description In order to investigate the transmission mechanism of the infectious individual with Ebola virus, we establish an SEIT (susceptible, exposed in the latent period, infectious, and treated/recovery) epidemic model. The basic reproduction number is defined. The mathematical analysis on the existence and stability of the disease-free equilibrium and endemic equilibrium is given. As the applications of the model, we use the recognized infectious and death cases in Guinea to estimate parameters of the model by the least square method. With suitable parameter values, we obtain the estimated value of the basic reproduction number and analyze the sensitivity and uncertainty property by partial rank correlation coefficients.
url http://dx.doi.org/10.1155/2015/582625
work_keys_str_mv AT zhimingli dynamicalanalysisofanseitepidemicmodelwithapplicationtoebolavirustransmissioninguinea
AT zhidongteng dynamicalanalysisofanseitepidemicmodelwithapplicationtoebolavirustransmissioninguinea
AT xiaomeifeng dynamicalanalysisofanseitepidemicmodelwithapplicationtoebolavirustransmissioninguinea
AT yingkeli dynamicalanalysisofanseitepidemicmodelwithapplicationtoebolavirustransmissioninguinea
AT huiguozhang dynamicalanalysisofanseitepidemicmodelwithapplicationtoebolavirustransmissioninguinea
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