肺结核和COVID-19共发感染的建模与分析

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摘要：

肺结核和COVID-19都是由病原体感染肺部引起的呼吸道传染病,并呈现咳嗽、发烧或者呼吸困难等部分相似的症状.借助动力学理论建立了一类肺结核和COVID-19共发感染的传播动力学模型,讨论了COVID-19对肺结核控制的可能影响.理论结果表明,除无病平衡点P0外,模型还存在多个地方病平衡点P1,P2和P3,并且每个平衡点在一定条件下都是全局渐近稳定的.数值模拟清晰地展示了COVID-19在人群内持续传播的可能性大于肺结核.

Both tuberculosis and COVID-19 are respiratory infectious diseases caused by pathogens infecting the lungs with partially similar symptoms such as coughing,fever or difficulty breathing.In this paper,a transmission dynamic model of tuberculosis and co-infection with COVID-19 was established by using dynamic theory,and the possible impact of COVID-19 on tuberculosis control was discussed.The research results show that in addition to the disease-free equilibrium P 0,there are several endemic equilibria P1,P2 and P3 for the model,and each equilibrium point is globally asymptotically stability under certain conditions.Finally numerical simulations clearly show that the possibility of sustained transmission of COVID-19 in the population is higher than that of tuberculosis.

作者：

刘清华曹慧李海燕

Liu Qinghua;Cao Hui;Li Haiyan(School of Mathematics&Data Science,Shaanxi University of Science and Technology,Xi'an 710021,China)

机构地区：

陕西科技大学数学与数据科学学院

出处：

《betway官方app 学报：自然科学版》 CAS 北大核心 2023年第1期54-62,共9页

Journal of Henan Normal University(Natural Science Edition)

基金：

国家自然科学基金(12071268,11971281) 陕西省自然科学基金青年项目(2020JQ-700) 陕西省教育厅项目(20JK0546).

关键词：

COVID-19 肺结核共发感染稳定性