Stability Results for an Age-Structured SIS Epidemic Model with Vector Population
Joint Authors
Liu, He-Long
Yu, Jing-Yuan
Zhu, Guang-Tian
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We formulate an age-structured SIS epidemic model with periodic parameters, which includes host population and vector population.
The host population is described by two partial differential equations, and the vector population is described by a single ordinary differential equation.
The existence problem for endemic periodic solutions is reduced to a fixed point problem of a nonlinear integral operator acting on locally integrable periodic functions.
We obtain that if the spectral radius of the Fréchet derivative of the fixed point operator at zero is greater than one, there exists a unique endemic periodic solution, and we investigate the global attractiveness of disease-free steady state of the normalized system.
American Psychological Association (APA)
Liu, He-Long& Yu, Jing-Yuan& Zhu, Guang-Tian. 2015. Stability Results for an Age-Structured SIS Epidemic Model with Vector Population. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1067142
Modern Language Association (MLA)
Liu, He-Long…[et al.]. Stability Results for an Age-Structured SIS Epidemic Model with Vector Population. Journal of Applied Mathematics No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1067142
American Medical Association (AMA)
Liu, He-Long& Yu, Jing-Yuan& Zhu, Guang-Tian. Stability Results for an Age-Structured SIS Epidemic Model with Vector Population. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1067142
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067142