An approach to modified SIRI epidemic model using Markovian retrial queues.

In this paper, a SIRI(Susceptible-Infected-Recovered-Infected) model is framed using the concept of retrial queues. The proposed model is analysed through queueing theory techniques. The SIRI epidemic model is formulated on an individual level. The stability of the proposed epidemic model is checked and the stationary distribution, generating function, explicit and recursive formulae of the proposed model is derived. The stability condition of the proposed model and the modified model are derived. The proposed SIRI(Susceptible-Infected-Recovered-Infected) model is modified with quarantine technique and analysed. The proposed SIRI model and a traditional SIRI model are simulated using Simulink and MATLAB respectively. The numerical simulations suggest that the proposed SIRI model is efficient in predicting the disease spread. [ABSTRACT FROM AUTHOR]