Analytical results on the stability of age-structured recurrent epidemic models.

@article{Greenhalgh1987AnalyticalRO,
  title={Analytical results on the stability of age-structured recurrent epidemic models.},
  author={David Greenhalgh},
  journal={IMA journal of mathematics applied in medicine and biology},
  year={1987},
  volume={4 2},
  pages={109-44}
}
  • David Greenhalgh
  • Published 1987 in
    IMA journal of mathematics applied in medicine…
This paper examines the equilibrium and stability properties of relatively simple mathematical models for the transmission of infectious diseases such as measles, rubella, and mumps. We consider endemic diseases which are recurrent over a long time period. We discuss some simple models which incorporate an age structure into the population amongst whom the disease is spreading, since recent work has shown this feature to be important. The results are relevant in three ways: for predicting the… CONTINUE READING