井冈山大学学报（自然科学版）2025，Vol.46Issue(1)：1-7,7.DOI:10.3969/j.issn.1674-8085.2025.01.001
一类考虑筛查效应和隔离措施的传染病模型的稳定性分析
STABILITY ANALYSIS OF A CLASS OF INFECTIOUS DISEASE MODELS CONSIDERING SCREENING EFFECTS AND QUARANTINE MEASURES
摘要
Abstract
A novel infectious disease model that incorporates screening effects and quarantine measures is proposed in this paper.First,the positivity and invariant sets of the model was derived.Then,the next-generation matrix method was used to calculate the basic reproduction number,and analyze the local stability and global stability of the disease-free equilibrium.Subsequently,the global stability of the endemic equilibrium was investigated.Finally,the accuracy of the obtained theory was validated through numerical simulations.关键词
筛查效应/隔离措施/基本再生数/全局稳定性/局部稳定性Key words
screening effects/quarantine measures/basic reproduction number/global stability/local stability分类
数学引用本文复制引用
宋家城,周宇生..一类考虑筛查效应和隔离措施的传染病模型的稳定性分析[J].井冈山大学学报（自然科学版）,2025,46(1):1-7,7.基金项目
国家自然科学基金项目(12162006) （12162006）
贵州省科技计划项目(黔科合基础-ZK[2023]一般 037) （黔科合基础-ZK[2023]一般 037）
