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| 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. |
| 关键词: 空间异质性 SIS传染病模型 Lyapunov函数 全局稳定性 |
| DOI： |
| 分类号:O242.1 |
| 基金项目: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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| THRESHOLD DYNAMICS ANALYSIS OF A CLASS OF SIS INFECTIOUS DISEASE MODEL WITH SPATIAL HETEROGENEITY |
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HU Meng,ZHANG Ya-rong
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| 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. |
| Key words: spatial heterogeneity SIS infectious disease model Lyapunov function global stability |
