Dynamical Analysis of an SEIT Epidemic Model with Application to Ebola Virus Transmission in Guinea
Joint Authors
Li, Zhiming
Li, Yingke
Zhang, Huiguo
Teng, Zhidong
Feng, Xiaomei
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-02
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Li, Zhiming& Teng, Zhidong& Feng, Xiaomei& Li, Yingke& Zhang, Huiguo. 2015. Dynamical Analysis of an SEIT Epidemic Model with Application to Ebola Virus Transmission in Guinea. Computational and Mathematical Methods in Medicine،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1057945
Modern Language Association (MLA)
Li, Zhiming…[et al.]. Dynamical Analysis of an SEIT Epidemic Model with Application to Ebola Virus Transmission in Guinea. Computational and Mathematical Methods in Medicine No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1057945
American Medical Association (AMA)
Li, Zhiming& Teng, Zhidong& Feng, Xiaomei& Li, Yingke& Zhang, Huiguo. Dynamical Analysis of an SEIT Epidemic Model with Application to Ebola Virus Transmission in Guinea. Computational and Mathematical Methods in Medicine. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1057945
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1057945