Global dynamics of a stage-structured hantavirus infection model with seasonality
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| Natura: | Artículo científico |
| Lingua: | en |
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Vilniaus Universitetas
2021
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| _version_ | 1876432248948916224 |
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| author | Liu Junli |
| author_facet | Liu Junli |
| contents | Global dynamics of a stage-structured hantavirus infection model with seasonality Liu Junli Zhang Tailei Matemáticas Hantavirus seasonality threshold dynamics global attractivity basic reproduction number In this paper, we study a time-periodic model, which incorporates seasonality and host stage-structure. This model describes the propagation of Puumala hantavirus within the bank vole population of Clethrionomys glareolus. The basic reproduction number R0 is obtained. By appealing to the theory of monotone dynamical systems and chain transitive sets, we establish a threshold-type result on the global dynamics in terms of R0, that is, the virus-free periodic solution is globally attractive, and the virus dies out if R0 ≤ 1, while there exists a unique positive periodic solution, which is globally attractive, and the virus persists if R0 > 1. Numerical simulations are given to confirm our theoretical results and to show that cleaning environment and controlling thegrow of mice population are essential control strategies to reduce hantavirus infection. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694172828002 https://www.redalyc.org/journal/6941/694172828002/ https://www.redalyc.org/journal/6941/694172828002/html/ https://www.redalyc.org/journal/6941/694172828002/694172828002.epub https://www.redalyc.org/journal/6941/694172828002/movil https://doi.org/10.15388/namc.2021.26 en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.1 Vol.26 |
| format | Artículo científico |
| id | redalyc_694172828002 |
| institution | Redalyc |
| language | en |
| publishDate | 2021 |
| publisher | Vilniaus Universitetas |
| spellingShingle | Global dynamics of a stage-structured hantavirus infection model with seasonality Liu Junli Matemáticas Hantavirus seasonality threshold dynamics global attractivity basic reproduction number Global dynamics of a stage-structured hantavirus infection model with seasonality Liu Junli Zhang Tailei Matemáticas Hantavirus seasonality threshold dynamics global attractivity basic reproduction number In this paper, we study a time-periodic model, which incorporates seasonality and host stage-structure. This model describes the propagation of Puumala hantavirus within the bank vole population of Clethrionomys glareolus. The basic reproduction number R0 is obtained. By appealing to the theory of monotone dynamical systems and chain transitive sets, we establish a threshold-type result on the global dynamics in terms of R0, that is, the virus-free periodic solution is globally attractive, and the virus dies out if R0 ≤ 1, while there exists a unique positive periodic solution, which is globally attractive, and the virus persists if R0 > 1. Numerical simulations are given to confirm our theoretical results and to show that cleaning environment and controlling thegrow of mice population are essential control strategies to reduce hantavirus infection. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694172828002 https://www.redalyc.org/journal/6941/694172828002/ https://www.redalyc.org/journal/6941/694172828002/html/ https://www.redalyc.org/journal/6941/694172828002/694172828002.epub https://www.redalyc.org/journal/6941/694172828002/movil https://doi.org/10.15388/namc.2021.26 en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.1 Vol.26 |
| title | Global dynamics of a stage-structured hantavirus infection model with seasonality |
| topic | Matemáticas Hantavirus seasonality threshold dynamics global attractivity basic reproduction number |
| url | https://www.redalyc.org/articulo.oa?id=694172828002 https://www.redalyc.org/journal/6941/694172828002/ https://www.redalyc.org/journal/6941/694172828002/html/ https://www.redalyc.org/journal/6941/694172828002/694172828002.epub https://www.redalyc.org/journal/6941/694172828002/movil https://doi.org/10.15388/namc.2021.26 |