000014973 001__ 14973
000014973 005__ 20161115100207.0
000014973 04107 $$aeng
000014973 046__ $$k2016-08-21
000014973 100__ $$aBerti, Stefano
000014973 24500 $$aEffects of Discreteness on Population Persistence in an Oasis

000014973 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014973 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014973 506__ $$arestricted
000014973 520__ $$2eng$$aDetermining the conditions for persistence of species and populations is a question of paramount importance in population biology. The problem was first theoretically investigated adopting a continuous reaction-diffusion equation for population dynamics in a patch of finite size surrounded by a completely hostile environment, representing an oasis in a desert. The main result of this model, today known as the KiSS model (after Kierstead, Slobodkin and Skellam), is that patches need to be larger than a critical size to let the population survive. To explore the effects of discreteness and demographic stochasticity, here we propose an individual-based formulation of the KiSS model. We investigate population dynamics in our discrete model, focusing on the average time to extinction (above and below the critical patch size of the continuous model) and on the quasi-stationary distribution of the number of individuals for patch sizes larger than the critical value.

000014973 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014973 653__ $$a

000014973 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014973 720__ $$aBerti, Stefano
000014973 8560_ $$ffischerc@itam.cas.cz
000014973 8564_ $$s72823$$uhttps://invenio.itam.cas.cz/record/14973/files/TS.MS02-2.06.pdf$$yOriginal version of the author's contribution as presented on CD,  page 86, code TS.MS02-2.06
.
000014973 962__ $$r13812
000014973 980__ $$aPAPER