海南师范大学学报(自然科学版)2024,Vol.37Issue(4) :425-434.DOI:10.12051/j.issn.1674-4942.2024.04.004

信息干预下的HBV传染病模型稳定性分析

Stability Analysis of HBV Infectious Disease Models with Information Intervention

曾丽颖 刘亚威 牟鱼
海南师范大学学报(自然科学版)2024,Vol.37Issue(4) :425-434.DOI:10.12051/j.issn.1674-4942.2024.04.004

信息干预下的HBV传染病模型稳定性分析

Stability Analysis of HBV Infectious Disease Models with Information Intervention

曾丽颖 1刘亚威 1牟鱼1
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作者信息

  • 1. 重庆交通大学 数学与统计学院,重庆 南岸 400074
  • 折叠

摘要

考虑媒体信息对HBV传染病的影响,构建了信息干预下的HBV传染病模型,研究了无病平衡点和地方病平衡点的存在性和稳定性,得到了无病平衡点和地方病平衡点的全局稳定性条件.根据相关结果发现适当地增加信息干预强度会减少HBV感染者数量,进而加快控制疾病的传播.

Abstract

Considering the influence of media information on HBV infectious disease,a model of HBV infectious disease under information intervention is constructed,the existence and stability of the disease-free equilibrium point and the endemic equilibrium point are further investigated,and the global stability conditions for the disease-free equilibrium and the endemic equilibrium are obtained.According to the relevant results,it is found that appropriately increasing the intensi-ty of information intervention reduces the number of HBV-infected people,which in turn accelerates the control of the spread of the disease.

关键词

信息干预/传染病模型/稳定性分析/HBV

Key words

information interventions/infectious disease model/stability analysis/HBV

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出版年

2024
海南师范大学学报(自然科学版)
海南师范大学

海南师范大学学报(自然科学版)

影响因子:0.271
ISSN:1674-4942
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