A Stochastic SVIR Model for Measles

• 作者: Moussa Seydou Ousmane Moussa Tessa
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: MEASLES Compartmental Model SVIR Basic Reproductive Number Markov Chains Lyapunov Function Stochastic Stability Stochastic Simulation NIGER
• 年，卷（期）: 2021,（3）
• 页码范围: 209-223
• 页数: 15页
• 分类号: O17

摘要

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.