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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/24295
Title: 
Population persistence in weakly-coupled sinks
Author(s): 
Institution: 
  • Universidade Federal de Alfenas (UNIFAL)
  • Universidade Estadual Paulista (UNESP)
ISSN: 
0378-4371
Sponsorship: 
  • Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
  • Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
Abstract: 
consider a single species population obeying a saturated growth model with spatial diffusion taken into account explicitly. Strong spatial heterogeneity is considered, represented by a position dependent reproduction rate. The geometry of the problem is that of two patches where the reproductive rate is positive, surrounded by unfavorable patches where it is negative. We focus on the particular case where the population would not persist in the single patches (sinks). We find by means of an analytical derivation, supplemented by a numerical calculation, the conditions for the persistence of the population in the compound system of weakly connected patches. We show that persistence is possible even if each individual patch is a sink where the population would go extinct. The results are of particular relevance for ecological management at the landscape level, showing that small patches may harbor populations as long as the connectivity with adjacent patches is maintained. Microcosmos experiences with bacteria could be performed for experimental verification of the predictions. (C) 2011 Elsevier B.V. All rights reserved.
Issue Date: 
1-Jan-2012
Citation: 
Physica A-statistical Mechanics and Its Applications. Amsterdam: Elsevier B.V., v. 391, n. 1-2, p. 142-146, 2012.
Time Duration: 
142-146
Publisher: 
Elsevier B.V.
Keywords: 
  • Population dynamics
  • Fisher-Kolmogorov equation
  • Extinctions
  • Patches
  • Diffusion
Source: 
http://dx.doi.org/10.1016/j.physa.2011.08.029
URI: 
Access Rights: 
Acesso restrito
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/24295
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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