Stability analysis of a disease resistance SEIRS model with nonlinear incidence rate
Abstract In this paper, we study a new SEIRS epidemic model describing nonlinear incidence with a more general form and the transmission of influenza virus with disease resistance. The basic reproductive number ℜ0 $\Re_{0}$ is obtained by using the method of next generating matrix. If ℜ0<1 $\Re_{...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-02-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1494-1 |
| Summary: | Abstract In this paper, we study a new SEIRS epidemic model describing nonlinear incidence with a more general form and the transmission of influenza virus with disease resistance. The basic reproductive number ℜ0 $\Re_{0}$ is obtained by using the method of next generating matrix. If ℜ0<1 $\Re_{0}<1$, the disease-free equilibrium is globally asymptotically stable, and if ℜ0>1 $\Re_{0}>1$, by using the geometric method, we obtain some sufficient conditions for global stability of the unique endemic equilibrium. Finally, numerical simulations are provided to support our theoretical results. |
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| ISSN: | 1687-1847 |