A discrete-time model with vaccination for a measles epidemic.

@article{Allen1991ADM,
  title={A discrete-time model with vaccination for a measles epidemic.},
  author={L. J. S. Allen and Mark A. Jones and Clyde F. Martin},
  journal={Mathematical biosciences},
  year={1991},
  volume={105 1},
  pages={111-31}
}
A discrete-time, age-independent SIR-type epidemic model is formulated and analyzed. The effects of vaccination are also included in the model. Three mathematically important properties are verified for the model: solutions are nonnegative, the population size is time-invariant, and the epidemic concludes with all individuals either remaining susceptible or becoming immune (a property typical of SIR models). The model is applied to a measles epidemic on a university campus. The simulated… CONTINUE READING

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