@article{fdi:010048218,
  title = {{P}eriodic matrix population models : growth rate, basic reproduction number, and entropy},
  author = {{B}aca{\¨e}r, {N}icolas},
  editor = {},
  language = {{ENG}},
  abstract = {{T}his article considers three different aspects of periodic matrix population models. {F}irst, a formula for the sensitivity analysis of the growth rate lambda is obtained that is simpler than the one obtained by {C}aswell and {T}revisan. {S}econdly, the formula for the basic reproduction number a">(0) in a constant environment is generalized to the case of a periodic environment. {S}ome inequalities between lambda and a">(0) proved by {C}ushing and {Z}hou are also generalized to the periodic case. {F}inally, we add some remarks on {D}emetrius' notion of evolutionary entropy {H} and its relationship to the growth rate lambda in the periodic case.},
  keywords = {{P}eriodic ; {M}atrix population model ; {R}eproductive value ; {B}asic ; reproduction number ; {E}ntropy},
  booktitle = {},
  journal = {{B}ulletin of {M}athematical {B}iology},
  volume = {71},
  numero = {7},
  pages = {1781--1792},
  ISSN = {0092-8240},
  year = {2009},
  DOI = {10.1007/s11538-009-9426-6},
  URL = {https://www.documentation.ird.fr/hor/fdi:010048218},
}