Abstract
In this paper, we discuss some discrete epidemic models, that is, discrete SIR epidemic model with no delay, discrete SIR epidemic model with one delay and discrete SEIRS epidemic model with two delays. By applying the method given in Wang, Appl. Math. Lett. 15(2002) 423–428, we prove the permanence of these discrete epidemic models. These sufficient conditions are similar to the continuous epidemic models, that is, the basic reproduction number of each model is larger than one.
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