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https://doi.org/10.11648/j.acm.20150406.12

has been cited by the following article:

• TITLE: A Stochastic SVIR Model for Measles

  AUTHORS: Moussa Seydou, Ousmane Moussa Tessa

  KEYWORDS: Measles, Compartmental Model, SVIR, Basic Reproductive Number, Markov Chains, Lyapunov Function, Stochastic Stability, Stochastic Simulation, Niger

  JOURNAL NAME: Applied Mathematics, Vol.12 No.3, March 30, 2021

  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.