| Global Stability of a Multi-Group Delayed Epidemic Model |
| Received:March 12, 2016 Revised:May 26, 2016 |
| Key Words:
globally asymptotically stable multi-group delayed system Lyapunov functionals connectivity
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| Fund Project:Supported by Weihai Science and Technology Development Plan Project (Grant No.2013DXGJ06) and the Natural Science Foundation of Shandong Province (Grant No.ZR2015AM018). |
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| Abstract: |
| A multi-group epidemic model with a variables separated incidence rate and delays is analyzed. For strongly and non-strongly connected networks, the basic reproductive number $R_0$ is calculated, respectively. By applying the Lyapunov functionals and the LaSalle invariance principle, we prove the global asymptotic stability of infection-free equilibrium $P_0$ when $R_0<1$ and the endemic equilibrium $P^*$ when $R_0>1$. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2016.05.006 |
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