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2018 Stationary Distribution and Dynamic Behaviour of a Stochastic SIVR Epidemic Model with Imperfect Vaccine
Driss Kiouach, Lahcen Boulaasair
J. Appl. Math. 2018: 1-11 (2018). DOI: 10.1155/2018/1291402

Abstract

We consider a stochastic SIVR (susceptible-infected-vaccinated-recovered) epidemic model with imperfect vaccine. First, we obtain critical condition under which the disease is persistent in the mean. Second, we establish sufficient conditions for the existence of an ergodic stationary distribution to the model. Third, we study the extinction of the disease. Finally, numerical simulations are given to support the analytical results.

Citation

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Driss Kiouach. Lahcen Boulaasair. "Stationary Distribution and Dynamic Behaviour of a Stochastic SIVR Epidemic Model with Imperfect Vaccine." J. Appl. Math. 2018 1 - 11, 2018. https://doi.org/10.1155/2018/1291402

Information

Received: 19 April 2018; Accepted: 2 July 2018; Published: 2018
First available in Project Euclid: 19 September 2018

zbMATH: 07000931
MathSciNet: MR3834329
Digital Object Identifier: 10.1155/2018/1291402

Rights: Copyright © 2018 Hindawi

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