华中师范大学学报(自然科学版)2024,Vol.58Issue(3) :298-303.DOI:10.19603/j.cnki.1000-1190.2024.03.002

具有媒体播报效应的埃博拉传染病模型的动力学分析

Dynamic analysis of an Ebola epidemic model incorporating media coverage

李佳慧 王晓静 郭松柏 梁宇 郭德玉
华中师范大学学报(自然科学版)2024,Vol.58Issue(3) :298-303.DOI:10.19603/j.cnki.1000-1190.2024.03.002

具有媒体播报效应的埃博拉传染病模型的动力学分析

Dynamic analysis of an Ebola epidemic model incorporating media coverage

李佳慧 1王晓静 1郭松柏 1梁宇 1郭德玉1
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作者信息

  • 1. 北京建筑大学理学院,北京 102616
  • 折叠

摘要

该文依据埃博拉的传播机制,构建一类具有媒体播报效应及有限医疗资源环境下的SIRDM传染病模型,计算模型的控制再生数,证明了无病平衡点的存在性、全局稳定性以及地方病平衡点的存在唯一性.然后对控制再生数进行敏感性分析,最后进行数值模拟以探究医疗资源及媒体播报对于疾病的影响,结果表明适量增加医疗资源和媒体播报量会降低疾病的暴发规模,从而能有效地防控疫情.

Abstract

Based on the transmission mechanism of Ebola,an SIRDM infectious disease model is constructed incorporating media coverage and limited medical resources.The control reproduction number of the model is calculated,then both the existence and the stability of the disease-free equilibrium are proved.Furthermore,the existence and uniqueness of the endemic equilibrium are given,and the sensitivity analysis of the control reproduction number is conducted.Finally,the numerical simulations are carried out to explore the influence of medical resources and media coverage on the spread of the disease.The results show that increasing the amount of medical resources and media coverage can reduce the outbreak scale of the disease and play an important role in disease control and prevention.

关键词

埃博拉(Ebola)/控制再生数/稳定性/敏感性分析/数值模拟

Key words

Ebola/control reproduction number/stability/sensitivity analysis/numerical simulation

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基金项目

国家自然科学基金(11901027)

北京市教委科研项目(SZ202110016008)

北京建筑大学研究生创新项目(2022)(PG2022142)

出版年

2024
华中师范大学学报(自然科学版)
华中师范大学

华中师范大学学报(自然科学版)

CSTPCDCSCD北大核心
影响因子:0.512
ISSN:1000-1190
参考文献量16
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