Open AccessAn Approach to SIR Epidemic Model using Markovian Retrial Queues
Author(s) -
Elizabeth Sebastian,
Priyanka Victor
Publication year - 2018
Publication title -
journal of computational mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-8686
DOI - 10.26524/jcm31
Subject(s) - epidemic model , queueing theory , mathematics , stability (learning theory) , markov process , generating function , stationary distribution , property (philosophy) , stochastic modelling , computer science , markov chain , discrete mathematics , statistics , population , demography , machine learning , sociology , philosophy , epistemology
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.