The basic reproduction number in epidemic models with periodic demographics.

@article{Wesley2009TheBR,
  title={The basic reproduction number in epidemic models with periodic demographics.},
  author={Curtis L. Wesley and L. J. S. Allen},
  journal={Journal of biological dynamics},
  year={2009},
  volume={3 2-3},
  pages={116-29}
}
Patterns of contact in social behaviour and seasonality due to environmental influences often affect the spread and persistence of diseases. Models of epidemics with seasonality and patterns in the contact rate include time-periodic coefficients, making the systems nonautonomous. No general method exists for calculating the basic reproduction number, the threshold for disease extinction, in nonautonomous epidemic models. However, for some epidemic models with periodic coefficients and constant… CONTINUE READING

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