中北大学学报（自然科学版）2024，Vol.45Issue(4)：473-480,8.DOI:10.3969/j.issn.1673-3193.2024.04.008
带有疫苗接种的新型冠状病毒传播动力学分析
Transmission Dynamics of Corona Virus with Vaccination
摘要
Abstract
The influence mechanism of vaccination and quarantine measures on the spread of corona virus was studied through mathematical modeling.Through qualitative analysis of the established model,the basic reproductive number was determined by using the next generation matrix method,and the existence and stability of the equilibria were given.Numerical simulations show that improving vaccine effectiveness can control the spread of corona virus more quickly,and increasing vaccination rates can delay the peak time of infection and reduce the number of cases.In addition,we should continue to implement some non-drug interventions,such as wearing masks and isolation,which can greatly reduce the final scale of infection and the transmission time of corona virus,and ultimately effectively control the spread of corona virus.关键词
疫苗接种/基本再生数/平衡点/稳定性Key words
vaccination/basic reproductive number/equilibrium/stability分类
数理科学引用本文复制引用
彭丹,乔志琴..带有疫苗接种的新型冠状病毒传播动力学分析[J].中北大学学报（自然科学版）,2024,45(4):473-480,8.基金项目
国家自然科学基金资助项目(11401541) （11401541）
2016年中北大学优秀学术带头人出国进修学习资助项目 （）
