A spatial SIS model in heterogeneous environments with vary advective rate
We study a spatial susceptible-infected-susceptible(SIS) model in heterogeneous environments with vary advective rate. We establish the asymptotic stability of the unique disease-free equilibrium(DFE) when $ \mathcal{R}_0 < 1 $ and the existence of the endemic equilibrium when $ \mathcal{R}_0...
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| Autores principales: | , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
AIMS Press
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/995653125b7446eda87d283ec0d6e8dc |
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| Sumario: | We study a spatial susceptible-infected-susceptible(SIS) model in heterogeneous environments with vary advective rate. We establish the asymptotic stability of the unique disease-free equilibrium(DFE) when $ \mathcal{R}_0 < 1 $ and the existence of the endemic equilibrium when $ \mathcal{R}_0 > 1 $. Here $ \mathcal{R}_0 $ is the basic reproduction number. We also discuss the effect of diffusion on the stability of the DFE. |
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