体卫融合视域下自身免疫力对大型传染病的传播影响研究  

Study on the influence for autoimmunity on the transmission of large infectious diseases from the perspective of physical and health integration

作　　者：张玉华 李海银 毕远宏 刘现辉[4] Zhang Yuhua;Li Haiyin;Bi Yuanhong;Liu Xianhui(Institute of Physical Education,Henan University of Economics and Law,Zhengzhou 450046,China;Department of Mathematics and Information,Henan University of Economics and Law,Zhengzhou 450046,China;School of Statistics and Mathematics,Inner Mongolia University of Finance and Economics,Hohhot 010051,China;Hematology,Henan Province Hospital of TCM,Zhengzhou 450008,China)

机构地区：[1]河南财经政法大学体育学院,郑州450046 [2]河南财经政法大学数学与信息科学学院,郑州450046 [3]内蒙古财经大学统计与数学学院,呼和浩特010051 [4]河南省中医院血液科,郑州450008

出　　处：《河南师范大学学报（自然科学版）》2023年第5期67-73,共7页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(12062017);河南省科技攻关项目(222102320192,232102320306);河南省哲学社会科学规划项目(2022BTY001);河南省高等学校重点科研项目(23A110005)。

摘　　要：为了研究自身免疫力对大型传染病传播的影响,建立了易感者、密接者、感染者和恢复者4种人群的传染病模型,给出基本再生数并讨论了无病平衡点和地方病平衡点的稳定性.当自身免疫力小于min{μ_(1),μ_(2),μ_(3)}时传染病会蔓延开来,但当自身免疫力大于μ^(*)时传染病会逐渐消失,加速推进体卫融合,提高机体自身免疫力的重要性就凸显出来,为我国体卫融合健康发展提供参考.In order to study the influence of autoimmunity on the spread of large infectious diseases,an infectious disease model of four populations for susceptible,close contacts,infected and recovered,is established,the basic regeneration number is given,and the stability of the disease-free equilibrium and the endemic equilibrium are discussed.When the autoimmunity is less than min{μ_1,μ_2,μ_3},infectious disease will spread,but when the autoimmunity is greater than μ~*,infectious diseases will gradually disappear.The importance of accelerating the promotion of physical and health integration and improving the body's autoimmunity will be highlighted,providing reference for the healthy development of physical and health integration in China.

关 键 词：体卫融合 自身免疫力 传染病 稳定性 

分 类 号：O175.13[理学—数学]