• Corpus ID: 232013489

Exact epidemic models from a tensor product formulation

  title={Exact epidemic models from a tensor product formulation},
  author={Wout Merbis},
A general framework for obtaining exact transition rate matrices for stochastic systems on networks is presented and applied to many well-known compartmental models of epidemiology. The state of the population is described as a vector in the tensor product space of N individual probability vector spaces, whose dimension equals the number of compartments of the epidemiological model nc. The transition rate matrix for the nc -dimensional Markov chain is obtained by taking suitable linear… 

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