不完全治疗肺结核的随机SEITR模型动力学

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-12-26 DOI:10.1007/s10255-024-1147-y

Xiao-dong Wang, Kai Wang

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引用次数: 0

摘要

本文建立了一个随机SEITR模型来描述不完全治疗下结核病的传播动力学。得到了平稳分布和消光存在的充分条件。此外，还通过数值模拟对分析结果进行了说明。理论和数值结果表明，大的环境扰动可以抑制结核的传播。

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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The Dynamics of a Stochastic SEITR Model for Tuberculosis with Incomplete Treatment

In this paper, a stochastic SEITR model is formulated to describe the transmission dynamics of tuberculosis with incompletely treatment. Sufficient conditions for the existence of a stationary distribution and extinction are obtained. In addition, numerical simulations are given to illustrate these analytical results. Theoretical and numerical results show that large environmental perturbations can inhibit the spread of tuberculosis.

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来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.