RT Journal Article
T1 Evaluating growth measures in an immigration process subject to binomial and geometric catastrophes
A1 Artalejo Rodríguez, Jesús Manuel
A1 Economou, A.
A1 López Herrero, María Jesús
AB Populations are often subject to the effect of catastrophic events that cause mass removal. In particular, metapopulation models, epidemics, and migratory flows provide practical examples of populations subject to disasters (e.g., habitat destruction, environmental catastrophes). Many stochastic models have been developed to explain the behavior of these populations. Most of the reported results concern the measures of the risk of extinction and the distribution of the population size in the case of total catastrophes where all individuals in the population are removed simultaneously. In this paper, we investigate the basic immigration process subject to binomial and geometric catastrophes; that is, the population size is reduced according to a binomial or a geometric law. We carry out an extensive analysis including first extinction time, number of individuals removed, survival time of a tagged individual, and maximum population size reached between two consecutive extinctions. Many explicit expressions are derived for these system descriptors, and some emphasis is put to show that some of them deserve extra attention.
PB Amer Inst Mathematical Sciences
SN 1547-1063
YR 2007
FD 2007-11
LK https://hdl.handle.net/20.500.14352/49951
UL https://hdl.handle.net/20.500.14352/49951
DS Docta Complutense
RD 10 abr 2025