Positive Periodic Solutions of an Epidemic Model with Seasonality
Joint Authors
Sun, Gui-Quan
Bai, Zhenguo
Zhang, Zi-Ke
Zhou, Tao
Jin, Zhen
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-10
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
An SEI autonomous model with logistic growth rate and its corresponding nonautonomous model are investigated.
For the autonomous case, we give the attractive regions of equilibria and perform some numerical simulations.
Basic demographic reproduction number Rd is obtained.
Moreover, only the basic reproduction number R0 cannot ensure the existence of the positive equilibrium, which needs additional condition Rd>R1.
For the nonautonomous case, by introducing the basic reproduction number defined by the spectral radius, we study the uniform persistence and extinction of the disease.
The results show that for the periodic system the basic reproduction number is more accurate than the average reproduction number.
American Psychological Association (APA)
Sun, Gui-Quan& Bai, Zhenguo& Zhang, Zi-Ke& Zhou, Tao& Jin, Zhen. 2013. Positive Periodic Solutions of an Epidemic Model with Seasonality. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1032958
Modern Language Association (MLA)
Sun, Gui-Quan…[et al.]. Positive Periodic Solutions of an Epidemic Model with Seasonality. The Scientific World Journal No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1032958
American Medical Association (AMA)
Sun, Gui-Quan& Bai, Zhenguo& Zhang, Zi-Ke& Zhou, Tao& Jin, Zhen. Positive Periodic Solutions of an Epidemic Model with Seasonality. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1032958
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1032958