Dynamics of Stochastically Perturbed SIS Epidemic Model with Vaccination
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-03
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We introduce stochasticity into an SIS epidemic model with vaccination.
The stochasticity in the model is a standard technique in stochastic population modeling.
In the deterministic models, the basic reproduction number R0 is a threshold which determines the persistence or extinction of the disease.
When the perturbation and the disease-related death rate are small, we carry out a detailed analysis on the dynamical behavior of the stochastic model, also regarding of the value of R0.
If R0≤1, the solution of the model is oscillating around a steady state, which is the disease-free equilibrium of the corresponding deterministic model, whereas, if R0>1, there is a stationary distribution, which means that the disease will prevail.
The results are illustrated by computer simulations.
American Psychological Association (APA)
Zhao, Yanan& Jiang, Daqing. 2013. Dynamics of Stochastically Perturbed SIS Epidemic Model with Vaccination. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-477981
Modern Language Association (MLA)
Zhao, Yanan& Jiang, Daqing. Dynamics of Stochastically Perturbed SIS Epidemic Model with Vaccination. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-477981
American Medical Association (AMA)
Zhao, Yanan& Jiang, Daqing. Dynamics of Stochastically Perturbed SIS Epidemic Model with Vaccination. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-477981
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477981