一类非局部时滞的SVIR反应扩散模型的全局吸引性

数学物理学报 ›› 2021, Vol. 41 ›› Issue (6): 1864-1870.

一类非局部时滞的SVIR反应扩散模型的全局吸引性

杨瑜()

^{上海立信会计金融学院统计与数学学院上海 201209}

收稿日期:2021-01-11 出版日期:2021-12-26 发布日期:2021-12-02
作者简介:杨瑜, E-mail: yangyu@lixin.edu.cn

Global Attractivity of a Nonlocal Delayed and Diffusive SVIR Model

Yu Yang()

^{School of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai 201209}

Received:2021-01-11 Online:2021-12-26 Published:2021-12-02

摘要/Abstract

摘要：

该文考虑了一类非局部时滞的SVIR反应扩散模型.通过构造合适的Lyapunov泛函，当基本再生数$\mathcal{R}_{0}>1$时，证明了模型的正平衡点是全局吸引的，所得结果推广了一些已有的结果.

关键词: SVIR模型, 空间异质, Lyapunov泛函, 全局吸引性

Abstract:

In this paper, by using Lyapunov functional, we prove the global attractivity of the endemic equilibrium for a nonlocal delayed and diffusive SVIR model when $\mathcal{R}_{0}>1$, which cover and improve some known results.

Key words: SVIR model, Spatial heterogeneity, Lyapunov functional, Global attractivity

中图分类号:

O211

杨瑜. 一类非局部时滞的SVIR反应扩散模型的全局吸引性[J]. 数学物理学报, 2021, 41(6): 1864-1870.

Yu Yang. Global Attractivity of a Nonlocal Delayed and Diffusive SVIR Model[J]. Acta mathematica scientia,Series A, 2021, 41(6): 1864-1870.

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