摘要
研究青少年人口流动对毒品传播的影响,建立具有筛选和父母关爱控制项的毒品传播动力模型,求出系统的基本再生数和控制再生数,并对控制再生数进行灵敏度分析,结果表明:父母关爱能够有效降低或者阻止毒品的传播;进而证明无病平衡点的存在性和局部渐近稳定性;最后,利用优化控制理论分析了模型,得到父母关爱和筛选是控制毒品在青少年中传播花费最少的策略.
In this paper,considering the important role of adolescent population flow in the spread of drugs,we established a mathematical model with drug screening and parental care,and calculated the basic and control reproduction number,respectively.For the control reproduction number,we conducted its sensitivity analysis and found that parental care can decrease the control reproduction number,which means it can reduce or prevent the spread of drugs efficiently.Furthermore,we proved the existence and the local stability of the free-disease equilibrium.Finally,based on the optimal control theory,it was concluded that parental care and screening are the least costly strategy to control the spread of drugs among adolescents.
作者
王晓静
史洋洋
白玉珍
许传青
WANG Xiaojing;SHI Yangyang;BAI Yuzhen;XU Chuanqing(School of Science,Beijing University of Civil Engineering and Architecture,Beijing 100044,China)
出处
《安徽大学学报（自然科学版）》
CAS
北大核心
2020年第1期20-25,共6页
Journal of Anhui University(Natural Science Edition)
基金
国家自然科学基金资助项目(11701026)
北京市自然科学基金资助项目(8194058)
北京建筑大学2018年市属高校基本科研业务费项目(X18103,X18080,X18017)
北京建筑大学研究生创新项目(PG2017031,PG2019095)。
