数学杂志2024，Vol.44Issue(4)：331-342,12.
一类具有空间异质性SIS传染病模型的阈值动力学分析
THRESHOLD DYNAMICS ANALYSIS OF A CLASS OF SIS INFECTIOUS DISEASE MODEL WITH SPATIAL HETEROGENEITY
摘要
Abstract
This article studies the dynamics and transmission laws of the SIS infectious disease model with the horizontal and vertical transmission under the spatial heterogeneity.Using the semigroup theory,the definition of the spectral radius of the next-generation generator,Lyapunov functions,asymptotic autonomous semigroup theory,and numerical simulation methods,we obtain the dynamical behavior and transmission laws of the SIS infectious disease model with the horizontal and vertical transmission under the spatial heterogeneity.These results extend previous related research results and provide a deeper theoretical basis for understanding such infectious disease models.关键词
空间异质性/SIS传染病模型/Lyapunov函数/全局稳定性Key words
spatial heterogeneity/SIS infectious disease model/Lyapunov function/global stability分类
数理科学引用本文复制引用
胡萌,张雅荣..一类具有空间异质性SIS传染病模型的阈值动力学分析[J].数学杂志,2024,44(4):331-342,12.基金项目
省重点研发项目资助(2023-YBSF-372) （2023-YBSF-372）
中国博士后面上项目资助(2022M722604). （2022M722604）
