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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Colonization and Collapse

Author(s):
Machado, F. P. [1] ; Roldan-Correa, A. [2] ; Schinazi, R. B. [3]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Math & Stat, Stat Dept, BR-05508090 Sao Paulo, SP - Brazil
[2] Univ Antioquia, Inst Matemat, Calle 67, 53-108, Medellin - Colombia
[3] Univ Colorado, Dept Math, Colorado Springs, CO 80933 - USA
Total Affiliations: 3
Document type: Journal article
Source: ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS; v. 14, n. 2, p. 719-731, 2017.
Web of Science Citations: 1
Abstract

Many species live in colonies that thrive for a while and then collapse. Upon collapse, very few individuals survive. The survivors start new colonies at other sites that thrive until they collapse, and so on. We introduce spatial and non spatial stochastic processes for modeling such population dynamic. Besides testing whether dispersion helps survival in a model experiencing large fluctuations, we obtain conditions for the population to get extinct or to survive. (AU)

FAPESP's process: 09/52379-8 - Stochastic modeling of interacting systems
Grantee:Fabio Prates Machado
Support Opportunities: Research Projects - Thematic Grants