Vol. 2 No. 1 (2018): Vol 2, Iss 1, Year 2018
An Approach to SIR Epidemic Model using Markovian Retrial Queues
Published June 30, 2018
- Difference equations, Retrial queues, Stationary distribution, Stochastic decomposition.
How to Cite
Sebastian, E., & Victor, P. (2018). An Approach to SIR Epidemic Model using Markovian Retrial Queues. Journal of Computational Mathematica, 2(1), 89-96. https://doi.org/10.26524/jcm31
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.
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