摘要
针对新型冠状病毒肺炎(COVID-19)的传播特点,建立了一类SSEEAIHR传染病动力学模型,计算了模型的控制再生数R,证明了无病平衡点的全局稳定性以及地方病平衡点的存在性,并结合印度疫情的数据进行了数值模拟.数值模拟的结果表明:在疫情期间,加强对易感者和潜伏期感染者的隔离力度能有效地阻止疫情的传播,极大地减少感染者的规模.
Based on the transmission mechanism of coronavirus disease 2019(COVID-19), an SSEEAIHR infectious disease dynamics model was established. Firstly, the control reproduction number Rof the model was calculated. Secondly, both the global stability of the disease-free equilibrium and the existence of the unique endemic equilibrium were proved. Finally, the numerical simulations were carried out according to the data about the epidemic in India. The results showed that strengthening the isolation of the susceptible and the exposed could prevent the spread of the pandemic efficiently and greatly reduce the size of the infected.
作者
王晓静
梁宇
郭松柏
闫慧林
陈靖宜
李颖
WANG Xiaojing;LIANG Yu;GUO Songbai;YAN Huilin;CHEN Jingyi;LI Ying(School of Science,Beijing University of Civil Engineering and Architecture,Beijing 102616,China;School of Environment and Energy Engineering,Beijing University of Civil Engineering and Architecture,Beijing 102616,China)
出处
《安徽大学学报（自然科学版）》
CAS
北大核心
2022年第6期12-20,共9页
Journal of Anhui University(Natural Science Edition)
基金
国家自然科学基金资助项目(11901027)
北京市教委科研基金资助项目(SZ202110016008)
北京建筑大学2022年研究生创新项目(PG2022142)
北京建筑大学2020基本科研业务费专项资金资助(X20083)。
