Vol. 2 No. 1 (2018): Vol 2, Iss 1, Year 2018
Articles

An Approach to SIR Epidemic Model using Markovian Retrial Queues

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  • Elizabeth Sebastian,
  • Priyanka Victor
Elizabeth Sebastian
Auxilium College (Autonomous), Vellore - 632 006, Tamil Nadu, India
Priyanka Victor
Auxilium College (Autonomous), Vellore - 632 006, Tamil Nadu, India
DOI: https://doi.org/10.26524/jcm31
Published June 30, 2018
Keywords
  • 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

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.

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