Global Dynamics of an SIRS Epidemic Model with Distributed Delay on Heterogeneous Network
Joint Authors
Liu, Qiming
Li, Baochen
Sun, Meici
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-26
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A novel epidemic S I R S model with distributed delay on complex network is discussed in this paper.
The formula of the basis reproductive number R 0 for the model is given, and it is proved that the disease dies out when R 0 < 1 and the disease is uniformly persistent when R 0 > 1 .
In addition, a unique endemic equilibrium for the S I R S model exists when R 0 > 1 , and a set of sufficient conditions on the global attractiveness of the endemic equilibrium for the system is given.
American Psychological Association (APA)
Liu, Qiming& Li, Baochen& Sun, Meici. 2017. Global Dynamics of an SIRS Epidemic Model with Distributed Delay on Heterogeneous Network. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1191364
Modern Language Association (MLA)
Liu, Qiming…[et al.]. Global Dynamics of an SIRS Epidemic Model with Distributed Delay on Heterogeneous Network. Mathematical Problems in Engineering No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1191364
American Medical Association (AMA)
Liu, Qiming& Li, Baochen& Sun, Meici. Global Dynamics of an SIRS Epidemic Model with Distributed Delay on Heterogeneous Network. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1191364
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1191364