An Approach to SIR Epidemic Model using Markovian Retrial Queues

Abstract

In this paper, we construct a SIR model and analyse it through queueing theory techniques. We study the model on an individual level. We formulate a SIR epidemic model using Markovian retrial queue. We intend to find the stability of the model. We have derived the generating function of the model. We have also derived the stationary distribution of the model, explicit formulae and the recursive formulae. We have analysed the stochastic decomposition property and have obtained a stability condition for the model.