泰国结核病数学模型的局部稳定性分析

P. Pongsumpun
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引用次数: 0

摘要

结核病(TB)是一种由分枝杆菌引起的传染病。它可以通过空气传播。感染结核病毒时,会咳嗽或打喷嚏。结核病存在于痰滴中,并上升到空气中。大的气溶胶颗粒经常落在地上,然后变干。结核病的主要症状是持续两周或更长时间的慢性咳嗽。其他症状可能包括食欲不振、体重减轻、疲劳、发热、胸痛、呼吸短促。这种疾病在人与人之间传播。本文建立了该病的动力学方程。通过对数学模型的分析,找到了数学模型的平衡点。对数值解进行分析,以了解每组人口的分布。导出了该病的基本繁殖数。分析了各因素的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Local stability analysis of mathematical model of Tuberculosis disease in Thailand
Tuberculosis (TB) is a contagious disease that is caused by Mycobacterium. It can be transmitted by air. When infected Tuberculosis speaks, coughs or sneezes. TB is present in the sputum droplets and rises into the air. Large aerosol particles often fall on the ground and dry out. The main symptom of tuberculosis is a chronic cough that lasts 2 weeks or more. Other symptoms may include loss of appetite, weight loss, fatigue, fever, chest pain, shortness of breath. This disease is transmitted between human. In this paper, we find the dynamical equations of this disease. We analyzed our mathematical model to find the equilibrium points of our mathematical model. Numerical solutions are analyzed to see the distribution of each group of population. The basic reproduction number of the disease is derived. The influence of each factor is analyzed.
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