Analysis of an SEIR Epidemic Model with Saturated Incidence and Saturated Treatment Function
Joint Authors
Jia, Jianwen
Zhang, Jinhong
Song, Xinyu
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-18
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
The dynamics of SEIR epidemic model with saturated incidence rate and saturated treatment function are explored in this paper.
The basic reproduction number that determines disease extinction and disease survival is given.
The existing threshold conditions of all kinds of the equilibrium points are obtained.
Sufficient conditions are established for the existence of backward bifurcation.
The local asymptotical stability of equilibrium is verified by analyzing the eigenvalues and using the Routh-Hurwitz criterion.
We also discuss the global asymptotical stability of the endemic equilibrium by autonomous convergence theorem.
The study indicates that we should improve the efficiency and enlarge the capacity of the treatment to control the spread of disease.
Numerical simulations are presented to support and complement the theoretical findings.
American Psychological Association (APA)
Zhang, Jinhong& Jia, Jianwen& Song, Xinyu. 2014. Analysis of an SEIR Epidemic Model with Saturated Incidence and Saturated Treatment Function. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1051563
Modern Language Association (MLA)
Zhang, Jinhong…[et al.]. Analysis of an SEIR Epidemic Model with Saturated Incidence and Saturated Treatment Function. The Scientific World Journal No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1051563
American Medical Association (AMA)
Zhang, Jinhong& Jia, Jianwen& Song, Xinyu. Analysis of an SEIR Epidemic Model with Saturated Incidence and Saturated Treatment Function. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1051563
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051563