An influenza transmission model with immune delay and comprehensive interventions

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摘要:

考虑了接种流感疫苗的个体具有确定的免疫期,建立了具有免疫时滞的SEIAR流感模型以探究“媒体、疫苗接种和抗病毒治疗”这三类综合干预措施对流感传播的影响.通过构造Lyapunov函数并依据Routh-Hurwitz判据,分析了模型的无病平衡点和地方病平衡点的稳定性,并给出了模型存在Hopf分支的充分条件.

In this paper,we consider that an individual with influenza vaccination has a defined immune period,so we establish an SEIAR influenza model with immune delay and three types of comprehensive interventions includingmedia,vaccination and antiviral therapy.By constructing the Lyapunov function and the Routh-Hurwitz criterion,the stability of the disease-free equilibrium and the endemic disease equilibrium of the model are analyzed.Furthermore,the sufficient condition for the existence of Hopf bifurcation near the endemic equilibrium is given out.

作者:

王晓静王雪萍白玉珍张蒙

Wang Xiaojing;Wang Xueping;Bai Yuzhen;Zhang Meng(School of Science,Beijing University of Civil Engineering and Architecture,Beijing 102616,China)

机构地区:

北京建筑大学理学院

出处:

《betway官方app 学报：自然科学版》 CAS 北大核心 2021年第1期108-114,共7页

基金:

国家自然科学基金(11701026,11901027) 北京市自然科学基金(8194058) 北京建筑大学2020年研究生教育教学质量提升项目(J2020015) 北京建筑大学2020基本科研业务费专项资金资助(X20083).

关键词:

SEIAR流感模型 LYAPUNOV函数免疫时滞稳定性 HOPF分支

SEIAR influenza model Lyapunov function immune delay stability Hopf bifurcation