A general theory for target reproduction numbers with applications to ecology and epidemiology

• Author(s) / Creator(s)

  • Mark A. Lewis
  • Zhisheng Shuai
  • P. van den Driessche

• A general framework for threshold parameters in population dynamics
  is developed using the concept of target reproduction numbers. This
  framework identies reproduction numbers and other threshold parameters in
  the literature in terms of their roles in population control. The framework is
  applied to the analysis of single and multiple control strategies in ecology and
  epidemiology, and this provides new biological insights.

• Date created

  2019-01-01

• Subjects / Keywords

  • Lefkovitch matrix
  • disease model
  • basic reproduction number
  • control
  • Leslie matrix
  • net reproductive value

• Type of Item

  Article (Draft / Submitted)

• DOI

  https://doi.org/10.7939/r3-e59j-2q20

• License

  Attribution-NonCommercial 4.0 International