Abstract
Considering the influence of random noise on SIR, SEIR and SEIAR infectious disease models, we establish SIR, SEIR and SEIAR models with random disturbance, and deduce the calculation formula of the basic regeneration number of the random infectious disease model in the sense of mean value by using Itô formula. The effectiveness of the basic regeneration number calculation method is verified by numerical simulation of the system evolution process.
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