Model Matematika Penyebaran Penyakit Infeksi Saluran Pernapasan Akut (ISPA) Berdasarkan Lokasi Anatomi Akibat Bakteri Streptococcus Pneumoniae

Diana Leris, Media Rosha
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Abstract

Streptococcus pneumoniae is a bacterium that attacks the human respiratory tract. Streptococcus pneumoniae bacteria cause respiratory diseases in the form of pneumonia, otitis media, sinusitis, sepsis, peritonitis, and abscesses. The purpose of this study was to establish, analyze, and interpret the mathematical model of the spread of Acute Respiratory Infections (ARI) based on the anatomical location of the Streptococcus pneumoniae bacteria. In the mathematical population formation model, the human population is divided into six population groups: susceptible, exposes, sinusitis infections, otitis media infections, pneumonia infections, and recovered.  An analysis of the stability of the system around the equilibrium point produces two points, namely, disease-free points, which will be asymptotically stable if βπ0.
急性呼吸道感染(ISPA)的数学模型基于链球菌肺炎菌的解剖位置
肺炎链球菌是一种攻击人类呼吸道的细菌。肺炎链球菌可引起呼吸道疾病,包括肺炎、中耳炎、鼻窦炎、败血症、腹膜炎和脓肿。本研究的目的是基于肺炎链球菌的解剖位置建立、分析和解释急性呼吸道感染(ARI)传播的数学模型。在数学群体形成模型中,将人群分为易感、暴露、鼻窦炎感染、中耳炎感染、肺炎感染、康复等6个群体。对系统在平衡点附近的稳定性进行分析,得到两个点,即无病点,当βπ为0时,无病点渐近稳定。
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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