分析SEITR水痘的数学模型

Musarifa, Hikmah, Fardinah
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引用次数: 0

摘要

水痘是一种由水痘带状疱疹病毒引起的传染病。这种传染病一般不仅发生在儿童身上,而且也会袭击成人,其传播的性质非常迅速。本研究的目的是建立模型并分析SEITR(易感-暴露-感染-治疗-恢复)数学模型。从SEITR模型得到的结果有两个平衡点,即无病和地方病。使用劳斯-霍维茨准则进行模型分析以确定特征值。稳定性分析结果表明,在满足各参数关系的条件下,无病平衡点是稳定的。在研究结束时,在已经进行的模拟中发现,该病将在0.58时流行,该病将在2.80时流行。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
ANALISIS MODEL MATEMATIKA SEITR PADA PENYAKIT CACAR AIR
Chickenpox is an infectious disease caused by the varicella zoster virus. This infectious disease generally occurs not only in children but also attack adults and the nature of its transmission is so capidly. The purpose of this research is to build a model and analyze the SEITR (Susceptible-Exposed-Infected-Treatment-Recovered) mathematical model. The results obtained from the SEITR model have two equilibrium points, namely disease-free and endemic. Model analysis was performed using the Routh-Horwitz criteria to identify the eigenvalues. Based on the results of the stability analysis that the disease-free equilibrium point were stable if the condition for the relationship between parameters were met. At the end of the study,on the simulation that has been carried out it is found that this disease will  when  is 0,58 and this disease will be epidemic when  is  2,80.
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