International Journal of Differential Equations
- Int. J. Differ. Equ.
- Volume 2019 (2019), Article ID 9275051, 9 pages.
Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate
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.
Int. J. Differ. Equ., Volume 2019 (2019), Article ID 9275051, 9 pages.
Received: 1 March 2019
Accepted: 1 August 2019
First available in Project Euclid: 17 October 2019
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El Koufi, Amine; Adnani, Jihad; Bennar, Abdelkrim; Yousfi, Noura. Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate. Int. J. Differ. Equ. 2019 (2019), Article ID 9275051, 9 pages. doi:10.1155/2019/9275051. https://projecteuclid.org/euclid.ijde/1571277676