Lyapunov Functions for a Class of Discrete SIRS Epidemic Models with Nonlinear Incidence Rate and Varying Population Sizes
Joint Authors
Wang, Ying
Rehim, Mehbuba
Teng, Zhidong
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-21
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We investigate the dynamical behaviors of a class of discrete SIRS epidemic models with nonlinear incidence rate and varying population sizes.
The model is required to possess different death rates for the susceptible, infectious, recovered, and constant recruitment into the susceptible class, infectious class, and recovered class, respectively.
By using the inductive method, the positivity and boundedness of all solutions are obtained.
Furthermore, by constructing new discrete type Lyapunov functions, the sufficient and necessary conditions on the global asymptotic stability of the disease-free equilibrium and endemic equilibrium are established.
American Psychological Association (APA)
Wang, Ying& Teng, Zhidong& Rehim, Mehbuba. 2014. Lyapunov Functions for a Class of Discrete SIRS Epidemic Models with Nonlinear Incidence Rate and Varying Population Sizes. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-474260
Modern Language Association (MLA)
Wang, Ying…[et al.]. Lyapunov Functions for a Class of Discrete SIRS Epidemic Models with Nonlinear Incidence Rate and Varying Population Sizes. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-474260
American Medical Association (AMA)
Wang, Ying& Teng, Zhidong& Rehim, Mehbuba. Lyapunov Functions for a Class of Discrete SIRS Epidemic Models with Nonlinear Incidence Rate and Varying Population Sizes. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-474260
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-474260