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OA
STABILITY ANALYSIS OF A CLASS OF INFECTIOUS DISEASE MODELS CONSIDERING SCREENING EFFECTS AND QUARANTINE MEASURES
本研究提出了一种新型传染病模型,该模型结合了筛查效应和隔离措施.首先,推导了该模型的正性和不变集.接着,应用下一代矩阵的方法计算模型基本再生数,对无病平衡点局部与全局的稳定性进行了分析.随后,研究了地方平衡点的全局稳定性,最后通过数值模拟验证了所得到理论的准确性.
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 accura…查看全部>>
宋家城;周宇生
贵州大学数学与统计学院,贵阳,贵州 550025贵州大学数学与统计学院,贵阳,贵州 550025
数学
筛查效应隔离措施基本再生数全局稳定性局部稳定性
screening effectsquarantine measuresbasic reproduction numberglobal stabilitylocal stability
《井冈山大学学报（自然科学版）》 2025 (1)
1-7,7
国家自然科学基金项目(12162006)贵州省科技计划项目(黔科合基础-ZK[2023]一般 037)
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