Epidemiological models with varying population size and dose-dependent latent period.

@article{Liu1995EpidemiologicalMW,
  title={Epidemiological models with varying population size and dose-dependent latent period.},
  author={W. M. Liu and Pauline van den Driessche},
  journal={Mathematical biosciences},
  year={1995},
  volume={128 1-2},
  pages={57-69}
}
Two epidemiological models in a variable-size population are considered. Both have a dose-dependent latent period that depends on the proportion of infectious individuals in the population. In the SEIS model, the proportion of infectious individuals tends to either zero or a stable endemic value. In the SEIRS model, for diseases that confer temporary immunity, periodicity can arise by a Hopf bifurcation.