Extending the SIR epidemic model

J Satsuma, R Willox, A Ramani, B Grammaticos and A.s Carstea

Physica A: Statistical Mechanics and its Applications, 2004, vol. 336, issue 3, 369-375

Abstract: We investigate possible extensions of the susceptible–infective-removed (SIR) epidemic model. We show that there exists a large class of functions representing interaction between the susceptible and infective populations for which the model has a realistic behaviour and preserves the essential features of the classical SIR model. We also present a new discretisation of the SIR model which has the advantage of possessing a conserved quantity, thus making possible the estimation of the non-infected population at the end of the epidemic. A cellular automaton SIR is also constructed on the basis of the discrete-time system.

Keywords: Population dynamics; Epidemic; Discrete-time; Cellular automaton (search for similar items in EconPapers)
Date: 2004
References: View complete reference list from CitEc
Citations: View citations in EconPapers (22)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:336:y:2004:i:3:p:369-375

DOI: 10.1016/j.physa.2003.12.035

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