摘要
研究了疫苗接种与人口迁移因素影响下的一类传染病模型.针对疫苗接种率和人口迁移率对传染病传播的作用,对模型进行定性分析,讨论了模型无病平衡点的存在性和稳定性.通过绘制模型的相轨线形象直观地展示了轨线的走向,分析了疾病的消除与疫苗接种及人口迁移之间的关联性.
An epidemiological model under the influence of vaccination and population migration is studied.Aiming at the effect of vaccination rate and population migration rate on the spread of infectious diseases,the model is qualitatively analyzed,and the existence and stability of disease-free equilibrium point of the model are discussed.By drawing the phase trajectory of the model,the trend of the trajectory is visually displayed,and the correlation between disease elimination,vaccination and population migration is analyzed.
作者
张剑
张宏民
ZHANG Jian;ZHANG Hongmin(School of Science,Qiqihar University,Qiqihar 161006,China)
出处
《高师理科学刊》
2021年第12期17-20,共4页
Journal of Science of Teachers＇College and University
基金
黑龙江省教育厅基本业务专项(135109227)
黑龙江省省属高等学校基本科研业务费科研项目(135109227)。
关键词
疫苗接种
人口迁移
无病平衡点
vaccination
population migration
disease-free equilibrium point
