Zhuang, Lili; Cressie, Noel; Pomeroy, Laura; and Janies, Daniel, Multi-species SIR models from a dynamical bayesian perspective, Centre for Statistical and Survey Methodology, University of Wollongong, Working Paper 5-13, 2013.
Multi-species compartment epidemic models, such as the multispecies SIR (susceptible-infectious-recovered) model, are extensions of classic SIR models, used to explore the transient dynamics of pathogens that infect multiple hosts in a large population. In this article, we propose a dynamical Bayesian hierarchical SIR (HSIR) model, to capture the stochastic or random nature of an epidemic process in a multi-species SIR (with recovered becoming susceptible again) dynamical setting, under hidden mass-balance constraints. We call this an MSIRB model. Different from a classic multi-species SIR model (which we call MSIRc), our approach imposes mass balance on the underlying.