摘要
从传染病基本模型出发,构造了一类新的艾滋病传播的微分方程模型,并求解出基本参数,包括病人的日接触率、艾滋病死亡率和艾滋病感染者向艾滋病患者转变的比例.结合人口流动情况对我国各地区艾滋病感染人数分类,并对模型进行了误差分析与比较.
Starting from the basic model of infectious diseases,a new type of differential equation model of the spread of AIDS is constructed,and the basic parameters are solved,including the patient's daily contact rate,AIDS mortality and the ratio of AIDS-infected patients to AIDS patients.Combining the population flow,the number of people infected with AIDS in various regions of our country is classified,and the errors of the models are analyzed and compared.
作者
王跃华
刘娟
扈文
WANG Yuehua;LIU Juan;HU Wen(Normal College, Shenyang University,Shenyang 110041, China;School of Mathematics, Liaoning Normal University, Dalian 116029, China)
出处
《沈阳大学学报（自然科学版）》
CAS
2020年第5期439-444,共6页
Journal of Shenyang University：Natural Science
基金
辽宁省社会科学规划基金资助项目(L19BSH011).
关键词
微分方程模型
传染病模型
误差分析
人口流动
数学模型
differential equation model
infectious disease model
error analysis
population mobility
mathematical model
