A Stochastic SVIR Model for Measles

Seydou, Moussa and Tessa, Ousmane Moussa (2021) A Stochastic SVIR Model for Measles. Applied Mathematics, 12 (03). pp. 209-223. ISSN 2152-7385

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Official URL: https://doi.org/10.4236/am.2021.123013

Abstract

In this article, we consider the construction of a SVIR (Susceptible, Vaccinated, Infected, Recovered) stochastic compartmental model of measles. We prove that the deterministic solution is asymptotically the average of the stochastic solution in the case of small population size. The choice of this model takes into account the random fluctuations inherent to the epidemiological characteristics of rural populations of Niger, notably a high prevalence of measles in children under 5, coupled with a very low immunization coverage.

Item Type:	Article
Subjects:	STM Library > Mathematical Science
Depositing User:	Managing Editor
Date Deposited:	14 Mar 2023 08:57
Last Modified:	22 Mar 2024 04:10
URI:	http://open.journal4submit.com/id/eprint/466

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