Abstract Paper


Journal of Computational Mathametica

Title : An Approach to SIR Epidemic Model using Markovian Retrial Queues
Author(s) : 1 Elizabeth Sebastian and 2 Priyanka Victor
Article Information : , 91-99
Affiliation(s) : 1,2 Auxilium College (Autonomous), Vellore - 632 006, Tamil Nadu, India.

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 nd 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.


Keywords : Difference equations, Retrial queues, Stationary distribution, Stochastic decomposition.
Document Type : Research Paper
DOI : An approach to SIR Epidemic Model using Markovian Retrial Queues
Publication date : July 11, 2018