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2013 Dynamics of Stochastically Perturbed SIS Epidemic Model with Vaccination
Yanan Zhao, Daqing Jiang
Abstr. Appl. Anal. 2013: 1-12 (2013). DOI: 10.1155/2013/517439


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 R 0 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 R 0 . If R 0 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 R 0 > 1 , there is a stationary distribution, which means that the disease will prevail. The results are illustrated by computer simulations.


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Yanan Zhao. Daqing Jiang. "Dynamics of Stochastically Perturbed SIS Epidemic Model with Vaccination." Abstr. Appl. Anal. 2013 1 - 12, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1288.92027
MathSciNet: MR3095360
Digital Object Identifier: 10.1155/2013/517439

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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