四川师范大学学报（自然科学版）2024，Vol.47Issue(2)：229-239,11.DOI:10.3969/j.issn.1001-8395.2024.02.009
一类考虑双隔离强度的传染病模型的稳定性研究
Stability Study of a Class of Infectious Disease Models Considering Double Isolation Intensity
摘要
Abstract
In order to study the effect of double isolation intensity on the transmission of infectious diseases,a class of infectious disease models with double isolation intensity were established.Firstly,the positivity and invariant set of the system were analyzed,fol-lowed by the calculation of the disease-free equilibrium point and the basic regeneration number,after which the unique endemic equi-librium point was calculated and stability analysis was performed on the disease-free equilibrium point and the local equilibrium point to determine whether the disease would be eliminated.Finally,a sensitivity analysis was performed on the basic regeneration number,which illustrated that adding the isolation term could control the spread of the disease.关键词
基本再生数/双隔离强度/稳定性/平衡点/基本再生数的敏感性分析Key words
basic reproduction number/double isolation strength/stability/balance point/sensitivity analysis of basic regenera-tion number分类
数理科学引用本文复制引用
宋家城,吕王勇,张萍,张策,史思红..一类考虑双隔离强度的传染病模型的稳定性研究[J].四川师范大学学报（自然科学版）,2024,47(2):229-239,11.基金项目
国家自然科学基金青年基金(11601357)、四川省科技厅应用基础项目(2017JY0159)、可视化计算与虚拟现实四川省重点实验室基金(SCVCVR2018.08VS)和海南省自然科学基金(120QN250) （11601357）
