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Computational and Mathematical Methods in Medicine
Volume 2015, Article ID 582625, 11 pages
http://dx.doi.org/10.1155/2015/582625
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.

Supplementary Material

This paper establishes an SEIT epidemic model (susceptible, exposed in the latent period, infectious, treated/recovery) to analyze the dynamical transmission of Ebola virus is proposed. The basic reproduction number is defined, and the mathematical analysis on the local stability of the disease-free equilibrium and endemic equilibrium is given. By the least squares method and the recognized infectious and death cases in Guinea, parameters of the model are estimated and the estimated value of the basic reproduction number is obtained. The sensitivity and uncertainty property of the basic reproduction number is discussed by partial rank correlation coefficients.

  1. Supplementary Material