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Threshold conditions for a nonautonomous epidemic model with vaccination. (English) Zbl 1144.34032
A non-autonomous epidemic model with vaccination is studied. Sufficient conditions for the permanence and boundedness of the solutions are derived. Sufficient conditions for the disease free solution (DFS i.e. $$I(t)=0$$) to exist and be globally stable are found. Numerical examples with periodic coefficients are given. The reviewer has two comments: i) Equation after (3.1) has a misprint lim inf $$I(t)>l$$ (not one). ii) The biological meaning of the conditions derived is not clear.

MSC:
 34C60 Qualitative investigation and simulation of ordinary differential equation models 92D30 Epidemiology 34C11 Growth and boundedness of solutions to ordinary differential equations 34D05 Asymptotic properties of solutions to ordinary differential equations 34D20 Stability of solutions to ordinary differential equations
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