The basic reproduction number in epidemic models with periodic demographics.

  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},
  volume={3 2-3},
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

From This Paper

Topics from this paper.


Publications citing this paper.
Showing 1-10 of 14 extracted citations

Modeling seasonal rabies epidemics in China.

Bulletin of mathematical biology • 2012
View 2 Excerpts
Highly Influenced

A mumps model with seasonality in China

Infectious Disease Modelling • 2017

Modeling Lyme disease transmission

Infectious Disease Modelling • 2017
View 1 Excerpt

Similar Papers

Loading similar papers…