Dynamics of a Diffusive Multigroup SVIR Model with Nonlinear Incidence
In this paper, a multigroup SVIR epidemic model with reaction-diffusion and nonlinear incidence is investigated. We first establish the well-posedness of the model. Then, the basic reproduction number ℜ0 is established and shown as a threshold: the disease-free steady state is globally asymptoticall...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/8847023 |
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| Summary: | In this paper, a multigroup SVIR epidemic model with reaction-diffusion and nonlinear incidence is investigated. We first establish the well-posedness of the model. Then, the basic reproduction number ℜ0 is established and shown as a threshold: the disease-free steady state is globally asymptotically stable if ℜ0<1, while the disease will be persistent when ℜ0>1. Moreover, applying the classical method of Lyapunov and a recently developed graph-theoretic approach, we established the global stability of the endemic equilibria for a special case. |
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| ISSN: | 1076-2787 1099-0526 |