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一类具有空间异质性SIS传染病模型的阈值动力学分析OACSTPCD

THRESHOLD DYNAMICS ANALYSIS OF A CLASS OF SIS INFECTIOUS DISEASE MODEL WITH SPATIAL HETEROGENEITY

中文摘要英文摘要

本文研究了空间异质性下水平传播和垂直传播的SIS传染病模型的问题.利用半群理论、下一代再生算子谱半径的定义、Lyapunov函数、渐近自治半流理论以及数值模拟的方法,获得了空间异质性下水平传播和垂直传播的SIS传染病模型的动力学行为和传播规律的结果.这些结果推广了之前的相关研究结果,为理解此类传染病模型提供了更深入的理论依据.

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.

胡萌;张雅荣

西安建筑科技大学理学院,西安 710055

数学

空间异质性SIS传染病模型Lyapunov函数全局稳定性

spatial heterogeneitySIS infectious disease modelLyapunov functionglobal stability

《数学杂志》 2024 (004)

331-342 / 12

省重点研发项目资助(2023-YBSF-372);中国博士后面上项目资助(2022M722604).

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