A class of SEIQR epidemic model with nonlinear isolation rate influnced by media

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摘要:

建立了一类媒体报道下具有非线性隔离率的SEIQR传染病模型.给出了模型的基本再生数,证明了无病平衡点和地方病平衡点的存在性和稳定性.最后,对模型进行数值模拟,模拟结果表明:媒体报道下隔离率的增大会使得感染者的数量减少,媒体报道有利于控制传染病的暴发,减轻疫情.

In this paper,a class of SEIQR epidemic model with nonlinear isolation rate influenced by media is investigated.The basic reproduction number of the model is calculated to prove the existence and the stability of the disease-free equilibrium and the endemic equilibrium.The numerical simulations of the model are carried out to verify that the increase of isolation rate influnced by media will decline the number of infectious,thereby media is beneficial to control the outbreak of infectious diseases and reduce the epidemic prevalence.

作者:

侯雯珊张太雷方舒

Hou Wenshan;Zhang Tailei;Fang Shu(School of Science,Chang'an University,Xi'an 710064,China)

机构地区:

长安大学理学院

出处:

《betway官方app 学报：自然科学版》 CAS 北大核心 2021年第1期115-124,共10页

基金:

国家自然科学基金(11701041) 陕西省自然科学基础研究计划(2018JM1011).

关键词:

媒体报道非线性隔离率 SEIQR传染病模稳定性

media reports nonlinear isolation rate SEIQR epidemic model stability