Open Access
2019 Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate
Amine El Koufi, Jihad Adnani, Abdelkrim Bennar, Noura Yousfi
Int. J. Differ. Equ. 2019: 1-9 (2019). DOI: 10.1155/2019/9275051

Abstract

We expand an SIR epidemic model with vertical and nonlinear incidence rates from a deterministic frame to a stochastic one. The existence of a positive global analytical solution of the proposed stochastic model is shown, and conditions for the extinction and persistence of the disease are established. The presented results are demonstrated by numerical simulations.

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Amine El Koufi. Jihad Adnani. Abdelkrim Bennar. Noura Yousfi. "Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate." Int. J. Differ. Equ. 2019 1 - 9, 2019. https://doi.org/10.1155/2019/9275051

Information

Received: 1 March 2019; Accepted: 1 August 2019; Published: 2019
First available in Project Euclid: 17 October 2019

zbMATH: 07217331
MathSciNet: MR3998945
Digital Object Identifier: 10.1155/2019/9275051

Rights: Copyright © 2019 Hindawi

Vol.2019 • 2019
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