Analysis of a heterogeneous SEIRS patch model with asymmetric mobility kernel
In this paper, we establish a spatial heterogeneous SEIRS patch model with asymmetric mobility kernel. The basic reproduction ratio $ \mathcal{R}_{0} $ is defined, and threshold-type results on global dynamics are investigated in terms of $ \mathcal{R}_{0} $. In certain cases, the monotonicity of $...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-06-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023599?viewType=HTML |
| _version_ | 1827915098737344512 |
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| author | Shuangshuang Yin Jianhong Wu Pengfei Song |
| author_facet | Shuangshuang Yin Jianhong Wu Pengfei Song |
| author_sort | Shuangshuang Yin |
| collection | DOAJ |
| description | In this paper, we establish a spatial heterogeneous SEIRS patch model with asymmetric mobility kernel. The basic reproduction ratio $ \mathcal{R}_{0} $ is defined, and threshold-type results on global dynamics are investigated in terms of $ \mathcal{R}_{0} $. In certain cases, the monotonicity of $ \mathcal{R}_{0} $ with respect to the heterogeneous diffusion coefficients is established, but this is not true in all cases. Finally, when the diffusion rate of susceptible individuals approaches zero, the long-term behavior of the endemic equilibrium is explored. In contrast to most prior studies, which focused primarily on the mobility of susceptible and symptomatic infected individuals, our findings indicate the significance of the mobility of exposed and recovered persons in disease dynamics. |
| first_indexed | 2024-03-13T02:54:37Z |
| format | Article |
| id | doaj.art-897cfafe589c43a6ad67400584f4f9ce |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-03-13T02:54:37Z |
| publishDate | 2023-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-897cfafe589c43a6ad67400584f4f9ce2023-06-28T06:46:10ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-06-01207134341345610.3934/mbe.2023599Analysis of a heterogeneous SEIRS patch model with asymmetric mobility kernelShuangshuang Yin 0Jianhong Wu1Pengfei Song21. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, Shaanxi, China2. Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics York University, Ontario, Toronto, CA1. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, Shaanxi, China 2. Laboratory for Industrial and Applied Mathematics, Department of Mathematics and Statistics York University, Ontario, Toronto, CAIn this paper, we establish a spatial heterogeneous SEIRS patch model with asymmetric mobility kernel. The basic reproduction ratio $ \mathcal{R}_{0} $ is defined, and threshold-type results on global dynamics are investigated in terms of $ \mathcal{R}_{0} $. In certain cases, the monotonicity of $ \mathcal{R}_{0} $ with respect to the heterogeneous diffusion coefficients is established, but this is not true in all cases. Finally, when the diffusion rate of susceptible individuals approaches zero, the long-term behavior of the endemic equilibrium is explored. In contrast to most prior studies, which focused primarily on the mobility of susceptible and symptomatic infected individuals, our findings indicate the significance of the mobility of exposed and recovered persons in disease dynamics.https://www.aimspress.com/article/doi/10.3934/mbe.2023599?viewType=HTMLseirs epidemic modelasymmetric mobility kernelbasic reproduction numberspatial heterogeneity |
| spellingShingle | Shuangshuang Yin Jianhong Wu Pengfei Song Analysis of a heterogeneous SEIRS patch model with asymmetric mobility kernel Mathematical Biosciences and Engineering seirs epidemic model asymmetric mobility kernel basic reproduction number spatial heterogeneity |
| title | Analysis of a heterogeneous SEIRS patch model with asymmetric mobility kernel |
| title_full | Analysis of a heterogeneous SEIRS patch model with asymmetric mobility kernel |
| title_fullStr | Analysis of a heterogeneous SEIRS patch model with asymmetric mobility kernel |
| title_full_unstemmed | Analysis of a heterogeneous SEIRS patch model with asymmetric mobility kernel |
| title_short | Analysis of a heterogeneous SEIRS patch model with asymmetric mobility kernel |
| title_sort | analysis of a heterogeneous seirs patch model with asymmetric mobility kernel |
| topic | seirs epidemic model asymmetric mobility kernel basic reproduction number spatial heterogeneity |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2023599?viewType=HTML |
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