论文标题
与社区和医院获得感染的Covid-19和细菌性肺炎共感染的模型
A model for COVID-19 and bacterial pneumonia coinfection with community- and hospital-acquired infections
论文作者
论文摘要
我们提出了一个新的数学模型，以研究Covid-19和细菌性肺炎的共感染动力学。我们的模型包括肺炎的两种感染方法，与社区获得和医院获得的感染相对应。我们表明，平衡的存在和局部稳定性取决于三个不同的参数，这些参数被解释为Covid-19，细菌性肺炎和细菌种群的基本繁殖数。进行数值模拟以补充我们的理论分析，我们表明，如果Covid-19的基本繁殖数大于一个，则两种疾病都可以持续存在。
We propose a new mathematical model to study the coinfection dynamics of COVID-19 and bacterial pneumonia. Our model includes two infection ways for pneumonia, corresponding to community-acquired and hospital-acquired infections. We show that the existence and local stability of equilibria depend on three different parameters, which are interpreted as the basic reproduction numbers of COVID-19, bacterial pneumonia, and bacterial population. Numerical simulations are performed to complement our theoretical analysis, and we show that both diseases can persist if the basic reproduction number of COVID-19 is greater than one.
