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Studies on a delayed SIR epidemic model with saturated rate. (English) Zbl 1262.92039

Summary: A delayed SIR epidemic model with saturated rate is introduced. The local stability of its equilibria as well as the effects of delays on the reproduction number of the model are studied by constructing a Lyapunov function.

MSC:

92D30 Epidemiology
34D20 Stability of solutions to ordinary differential equations
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