Dynamical Analysis of an SEIT Epidemic Model with Application to Ebola Virus Transmission in Guinea. (2nd July 2015)

• Record Type: Journal Article
• Authors: Li, Zhiming; Teng, Zhidong; Feng, Xiaomei; Li, Yingke; Zhang, Huiguo
• Other Names: Blyuss Konstantin Academic Editor.
• Is Part Of: Computational and mathematical methods in medicine. Volume 2015(2015)
• Publication Date: 2015-07-02
• Subjects: Medicine -- Computer simulation -- Periodicals; Medicine -- Mathematical models -- Periodicals; 610.11
• DOI: 10.1155/2015/582625
• Languages: English
• ISSNs: 1748-670X

Abstract

Abstract : 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.