一个简单的SIDTR流行模式，使印度无结核病并停止传播

IF 0.5 Q4 COMPUTER SCIENCE, INFORMATION SYSTEMS Communications in Mathematical Biology and Neuroscience Pub Date : 2023-01-01 DOI:10.28919/cmbn/8001

S. Priya, K. Ganesan

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引用次数: 1

摘要

。本文构造了一个SIDTR模型。我们开发了SIDTR(疑似、感染、诊断、治疗和康复)模型的微分方程系统，并分析了结核病(TB)感染的爆发及其对印度人口的影响。建立了无病平衡和地方病平衡的稳定性分析条件定理。利用下一代矩阵确定基本繁殖数r0。我们试图通过使用来自世卫组织的真实世界数据来拟合我们提出的数学模型。我们期望这项研究能够有效地控制结核病的传播，并对印度未来的结核病感染进行了预测。

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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A simple SIDTR endemic model to make tuberculosis free India and stop spreading

. In this paper, we construct a SIDTR model. We develop a system of differential equations for SIDTR (Suspected, Infected, Diagnosed, Treatment and Recovered) model and analyze the outbreak of Tuberculosis (TB) infection and its effect on Indian population. We established theorems on stability analysis conditions for disease free equilibrium and endemic equilibrium. The basic reproduction number R 0 was determined by using the next generation matrix. We attempt to ﬁt our proposed mathematical model by using real world data which was taken from WHO. We expect that this study will be effective on controlling Tuberculosis (TB) spread and also we predicted the future TB infection in India.

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来源期刊

Communications in Mathematical Biology and Neuroscience COMPUTER SCIENCE, INFORMATION SYSTEMS-

CiteScore

2.10

自引率

15.40%

发文量

期刊介绍： Communications in Mathematical Biology and Neuroscience (CMBN) is a peer-reviewed open access international journal, which is aimed to provide a publication forum for important research in all aspects of mathematical biology and neuroscience. This journal will accept high quality articles containing original research results and survey articles of exceptional merit.