摘要
探讨了H.E.Soper所提出的麻疹模型的解的局部稳定性和全局稳定性,并解释了其生物意义.基于麻疹周期性爆发的特征及其防治方法,作者分别提出了具有免疫接种和有效治疗两种情况下的新模型,并分别对模型进行了分析.比较了两种防控措施的模型分析结果,得到在麻疹的防治工作中有效治疗能够有效控制大规模爆发的结论.
The local and global stability of the measles model proposed by H.E.Soper are studied in this paper,and its biological meaning is explained.Basing on this mode and the prevention and treatment methods,the authors proposed two refined methods considering the immunization and effective treatment separately.The stability of the two models are analyzed and their basic reproduction number are carried out and compared.The conclusion implied that treatment is more effective than immunization.
作者
张蒙
师向云
李泽妤
ZHANG Meng;SHI Xiang-yun;LI Ze-yu(School of Science,Beijing University of Civil Engineering and Architecture,Beijing 100044,China;College of Mathematics and Information Science,Xinyang Normal University,Xinyang 464000,China;Canvard College,Beijing Technology and Business University,Beijing 101118,China)
出处
《数学的实践与认识》
北大核心
2019年第17期293-297,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金(11701026)
北京市属高校基本科研业务费专项资金资助(X18225,X18080)
北京建筑大学双塔计划-优秀主讲教师(张蒙2016)
关键词
微分动力系统
麻疹
基本再生数
免疫接种
有效治疗
differential dynamic system
measles
basic reproduction number
immunization
effective treatment
