Dynamics of stochastic epidemics on heterogeneous networks

@article{Graham2014DynamicsOS,
  title={Dynamics of stochastic epidemics on heterogeneous networks},
  author={Matthew M. Graham and Thomas House},
  journal={Journal of Mathematical Biology},
  year={2014},
  volume={68},
  pages={1583-1605}
}
  • Matthew M. Graham, Thomas House
  • Published in
    Journal of mathematical…
    2014
  • Mathematics, Biology, Medicine
  • Epidemic models currently play a central role in our attempts to understand and control infectious diseases. Here, we derive a model for the diffusion limit of stochastic susceptible-infectious-removed (SIR) epidemic dynamics on a heterogeneous network. Using this, we consider analytically the early asymptotic exponential growth phase of such epidemics, showing how the higher order moments of the network degree distribution enter into the stochastic behaviour of the epidemic. We find that the… CONTINUE READING

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