Stochastic Analysis on Efficiency Vaccination in a SIR Model

Authors

  • Carlos Granados Universidad Nacional Abierta y a Distancia, Barranquilla, Colombia.

DOI:

https://doi.org/10.17268/sel.mat.2025.02.07

Keywords:

SIR model, epidemiology model, stochastic model, Covid-19, white noise, efficiency vaccination

Abstract

In this paper, we model the stochastic effect of vaccination on an epidemic which like epimdemic model, it can be susceptible to environmental changes. This study is carried out using a SIR model in which population remain susceptible after having been vaccinated. One important point of our research is that we apply a whit noise on recuperate rate of the infected individuals. Further, we show some stability results and some numerical simulations.

References

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Atangana A, Araz SI. Mathematical model of COVID-19 spread in Turkey and South Africa: Theory, methods and applications. Advances in Difference Equations. 2020; 2020(1):1–89. Doi:10.1101/2020.05.08.2

Nakamura G, Grammaticos B, Badoual M. In : Vaccination strategies for a seasonal epidemic: A simple SIR model. Open Communications in Nonlinear Mathematical Physics, 1. 2021; P. 20–40.

Mao X. Stochastic Differential Equations and Applications. Elsevier Science, 2007.

Khasminskii R, Milstein GN. Stochastic Stability of Differential Equation in: Stochastic Modelling and Applied Probability. Springer Berlin Heidelberg, 2011.

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Published

2025-12-27

How to Cite

Granados, C. (2025). Stochastic Analysis on Efficiency Vaccination in a SIR Model. Selecciones Matemáticas, 12(02), 356 - 364. https://doi.org/10.17268/sel.mat.2025.02.07