Bacaër Nicolas, Khaladi M. (2013). On the basic reproduction number in a random environment. Journal of Mathematical Biology, 67 (6-7), p. 1729-1739. ISSN 0303-6812.
Titre du document
On the basic reproduction number in a random environment
Journal of Mathematical Biology, 2013,
67 (6-7), p. 1729-1739 ISSN 0303-6812
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.
Plan de classement
Sciences fondamentales / Techniques d'analyse et de recherche [020]
;
Etudes, transformation, conservation du milieu naturel [082]
