![](/images/graphics-bg.png)
Complex Dynamics of Discrete SEIS Models with Simple Demography
Joint Authors
Song, Baojun
Cao, Hui
Zhou, Yicang
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-30
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We investigate bifurcations and dynamical behaviors of discrete SEIS models with exogenous reinfections and a variety of treatment strategies.
Bifurcations identified from the models include period doubling, backward, forward-backward, and multiple backward bifurcations.
Multiple attractors, such as bistability and tristability, are observed.
We also estimate the ultimate boundary of the infected regardless of initial status.
Our rigorously mathematical analysis together with numerical simulations show that epidemiological factors alone can generate complex dynamics, though demographic factors only support simple equilibrium dynamics.
Our model analysis supports and urges to treat a fixed percentage of exposed individuals.
American Psychological Association (APA)
Cao, Hui& Zhou, Yicang& Song, Baojun. 2011. Complex Dynamics of Discrete SEIS Models with Simple Demography. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-488579
Modern Language Association (MLA)
Cao, Hui…[et al.]. Complex Dynamics of Discrete SEIS Models with Simple Demography. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-21.
https://search.emarefa.net/detail/BIM-488579
American Medical Association (AMA)
Cao, Hui& Zhou, Yicang& Song, Baojun. Complex Dynamics of Discrete SEIS Models with Simple Demography. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-488579
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488579