![](/images/graphics-bg.png)
Threshold Dynamics of an SIR Model with Nonlinear Incidence Rate and Age-Dependent Susceptibility
Joint Authors
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-14
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We propose an SIR epidemic model with different susceptibilities and nonlinear incidence rate.
First, we obtain the existence and uniqueness of the system and the regularity of the solution semiflow based on some assumptions for the parameters.
Then, we calculate the basic reproduction number, which is the spectral radius of the next-generation operator.
Second, we investigate the existence and local stability of the steady states.
Finally, we construct suitable Lyapunov functionals to strictly prove the global stability of the system, which are determined by the basic reproduction number ℛ0 and some assumptions for the incidence rate.
American Psychological Association (APA)
Yang, Jun-Yuan& Wang, Xiao-Yan. 2018. Threshold Dynamics of an SIR Model with Nonlinear Incidence Rate and Age-Dependent Susceptibility. Complexity،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1136826
Modern Language Association (MLA)
Yang, Jun-Yuan& Wang, Xiao-Yan. Threshold Dynamics of an SIR Model with Nonlinear Incidence Rate and Age-Dependent Susceptibility. Complexity No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1136826
American Medical Association (AMA)
Yang, Jun-Yuan& Wang, Xiao-Yan. Threshold Dynamics of an SIR Model with Nonlinear Incidence Rate and Age-Dependent Susceptibility. Complexity. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1136826
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1136826