Stochastic Analysis on Efficiency Vaccination in a SIR Model

Autores/as

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

DOI:

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

Palabras clave:

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

Resumen

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.

Citas

Atangana A. Modelling the spread of COVID-19 with new fractal-fractional operators: Can the lockdown save mankind before vaccination?. Chaos, Solitons & Fractals. 2020; 136:109860. Doi: 10.1016/j.chaos.2020

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.

Descargas

Publicado

2025-12-27

Cómo citar

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