@article{fdi:010061308,
  title = {{O}n the basic reproduction number in a random environment},
  author = {{B}aca{\¨e}r, {N}icolas and {K}haladi, {M}.},
  editor = {},
  language = {{ENG}},
  abstract = {{T}he concept of basic reproduction number in population dynamics is studied in the case of random environments. {F}or simplicity the dependence between successive environments is supposed to follow a {M}arkov chain. is the spectral radius of a next-generation operator. {I}ts position with respect to 1 always determines population growth or decay in simulations, unlike another parameter suggested in a recent article ({H}ernandez-{S}uarez et al., {T}heor {P}opul {B}iol, doi:10.1016/j.tpb.2012.05.004, 2012). {T}he position of the latter with respect to 1 determines growth or decay of the population's expectation. is easily computed in the case of scalar population models without any structure. {T}he main emphasis is on discrete-time models but continuous-time models are also considered.},
  keywords = {{B}asic reproduction number ; {M}arkov chain ; {P}opulation dynamics ; {R}andom environment},
  booktitle = {},
  journal = {{J}ournal of {M}athematical {B}iology},
  volume = {67},
  numero = {6-7},
  pages = {1729--1739},
  ISSN = {0303-6812},
  year = {2013},
  DOI = {10.1007/s00285-012-0611-0},
  URL = {https://www.documentation.ird.fr/hor/fdi:010061308},
}