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Computational and Mathematical Methods in Medicine
Volume 2015, Article ID 582625, 11 pages
Research Article

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

1College of Mathematics and System Sciences, Xinjiang University, Urumqi 834800, China
2Department of Mathematics, Yuncheng University, Yuncheng 044000, China
3College of Mathematics and Physics, Xinjiang Agricultural University, Urumqi 830052, China

Received 4 April 2015; Revised 27 May 2015; Accepted 10 June 2015

Academic Editor: Konstantin Blyuss

Copyright © 2015 Zhiming Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.