具有疫苗接种和非线性发病率的随机SIR模型分析

IF 1.4 Q2 MATHEMATICS, APPLIED

International Journal of Differential Equations Pub Date : 2019-08-21 DOI:10.1155/2019/9275051

A. El koufi, Jihad Adnani, A. Bennar, N. Yousfi

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引用次数: 31

摘要

我们将具有垂直和非线性发病率的SIR流行病模型从确定性框架扩展到随机框架。证明了所提出的随机模型的全局正解析解的存在性，并建立了该疾病灭绝和持续的条件。数值模拟验证了所给出的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate

We expand an SIR epidemic model with vertical and nonlinear incidence rates from a deterministic frame to a stochastic one. The existence of a positive global analytical solution of the proposed stochastic model is shown, and conditions for the extinction and persistence of the disease are established. The presented results are demonstrated by numerical simulations.

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来源期刊

International Journal of Differential Equations MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

审稿时长

20 weeks