Further stability analysis for a multi-group SIRS epidemic model with varying total population size. (English) Zbl 1314.92167
Summary: We focus on a multi-group SIRS epidemic model with varying total population size and cross patch infection between different groups. By applying a monotone iterative approach to the model, we establish a new sufficient condition for large recovery rates \(\delta_k\), \(k = 1, 2, \ldots, n\) on the global asymptotic stability of endemic equilibrium of the model. By combining the sufficient condition for small \(\delta_k\), \(k = 1, 2, \ldots, n\) obtained by Lyapunov functional approach, we obtain new sufficient conditions which extend the known results in recent literature.
MSC:
| 92D30 | Epidemiology |
Keywords:
multi-group SIRS epidemic model; varying total population size; global stability; monotone iterationReferences:
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