基于媒体报道影响的SEIS传染病模型  

SEIS infectious disease model with media impact

作　　者：高晋芳 Gao Jinfang(Foundation Department,Nanchang Jiaotong University,Nanchang 330013,Jiangxi,China)

机构地区：[1]南昌交通学院基础部,江西南昌330013

出　　处：《江苏师范大学学报（自然科学版）》2023年第3期52-55,71,共5页Journal of Jiangsu Normal University：Natural Science Edition

基　　金：江西省教育厅科技项目(GJJ2203115)。

摘　　要：综合考虑媒体的数量、报道力度等因素,建立一类受媒体报道影响的SEIS传染病模型.定义模型的基本再生数R 0,基于第二加性复合矩阵法得到疾病平衡点全局渐近稳定的条件.数值模拟结果显示:媒体的存在使得传染病传播达到平衡态的时间增加,且平衡态时的易感者人群密度明显多于无媒体报道下的易感者人群密度;随着媒体报道力度的增加,平衡态时的易感者人群密度也在增大;随着报道媒体数量的增加,染病者人群密度减少,进而有效控制了传染病的传播.A SEIS infectious disease model with media impact is established,which is based on the media quantity and reporting intensity,etc..The basic regeneration number R 0 of the model is defined.According to the second additive composite matrix method,the condition of global asymptotic stability of infectious disease equilibrium point is obtained.The numerical simulation results show that the presence of media prolongs the time required for the epidemic to reach an equilibrium state,and the density of susceptible individuals at the equilibrium state is significantly higher compared to scenarios without media reporting.As the intensity of media coverage increases,the density of susceptible individuals at the equilibrium state also increases.Moreover,with the increase in the number of media reports,the density of infected individuals decreases,effectively controlling the spread of the infectious disease.

关 键 词：媒体报道 SEIS模型 复合矩阵 渐近稳定 

分 类 号：O175.12[理学—数学]