%0 Journal Article
%9 ACL : Articles dans des revues avec comité de lecture répertoriées par l'AERES
%A Bacaër, Nicolas
%A Khaladi, M.
%T On the basic reproduction number in a random environment
%D 2013
%L fdi:010061308
%G ENG
%J Journal of Mathematical Biology
%@ 0303-6812
%K Basic reproduction number ; Markov chain ; Population dynamics ; Random environment
%M ISI:000326898300014
%N 6-7
%P 1729-1739
%R 10.1007/s00285-012-0611-0
%U https://www.documentation.ird.fr/hor/fdi:010061308
%> https://www.documentation.ird.fr/intranet/publi/2013/12/010061308.pdf
%V 67
%W Horizon (IRD)
%X The concept of basic reproduction number in population dynamics is studied in the case of random environments. For simplicity the dependence between successive environments is supposed to follow a Markov chain. is the spectral radius of a next-generation operator. Its position with respect to 1 always determines population growth or decay in simulations, unlike another parameter suggested in a recent article (Hernandez-Suarez et al., Theor Popul Biol, doi:10.1016/j.tpb.2012.05.004, 2012). The 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. The main emphasis is on discrete-time models but continuous-time models are also considered.
%$ 020 ; 082