Dynamical analysis of a fractional SIRS model on homogenous networks
Abstract In this paper, we propose a fractional SIRS model with homogenous networks. The disease-free equilibrium point E0 $E_{0}$ is locally and globally asymptotically stable for R0<1 $R_{0}<1$ (the disease always disappears), and endemic equilibrium point E1 $E_{1}$ is uniquely locally and...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-04-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-019-2079-3 |
| Summary: | Abstract In this paper, we propose a fractional SIRS model with homogenous networks. The disease-free equilibrium point E0 $E_{0}$ is locally and globally asymptotically stable for R0<1 $R_{0}<1$ (the disease always disappears), and endemic equilibrium point E1 $E_{1}$ is uniquely locally and globally asymptotically stable, but E0 $E_{0}$ is unstable for R0>1 $R_{0}>1\ $ (the disease is uniformly persistent). The main results are demonstrated by numerical simulation. |
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| ISSN: | 1687-1847 |