Global Dynamics of SIRS Model with No Full Immunity on Semidirected Networks
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-10-23
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
In this paper, an epidemic model with no full immunity is analyzed on semidirected networks.
Directed networks led into previous scale-free networks, and we consider that some infectious diseases do not have full immunity.
So we use strong self-protection instead of immunity and establish a semidirected network infectious disease model without full immunity.
The basic reproduction number R0 is calculated.
If R0<1, the disease-free equilibrium E0 is locally and globally asymptotically stable.
And the endemic equilibrium E∗ is globally asymptotically stable in some condition.
A large number of simulation results in this paper verify the correctness of the above conclusions and provide a solution for controlling disease transmission in the future.
American Psychological Association (APA)
Huo, Jiawei& Li, Yimin& Hua, Jing. 2019. Global Dynamics of SIRS Model with No Full Immunity on Semidirected Networks. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1197875
Modern Language Association (MLA)
Huo, Jiawei…[et al.]. Global Dynamics of SIRS Model with No Full Immunity on Semidirected Networks. Mathematical Problems in Engineering No. 2019 (2019), pp.1-14.
https://search.emarefa.net/detail/BIM-1197875
American Medical Association (AMA)
Huo, Jiawei& Li, Yimin& Hua, Jing. Global Dynamics of SIRS Model with No Full Immunity on Semidirected Networks. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1197875
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197875