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Population extinction and survival in a hostile environment.

Authors :
Méndez V
Campos D
Source :
Physical review. E, Statistical, nonlinear, and soft matter physics [Phys Rev E Stat Nonlin Soft Matter Phys] 2008 Feb; Vol. 77 (2 Pt 1), pp. 022901. Date of Electronic Publication: 2008 Feb 04.
Publication Year :
2008

Abstract

We study the conditions for extinction and survival of populations living in a patch surrounded by a hostile environment. We find analytic expressions for the steady states when population dynamics is described by diffusion and reaction is driven by compensation, depensation, or critical depensation growths. The role of initial population density is studied, and the complete bifurcation diagrams are constructed and validated numerically for the three cases studied.

Details

Language :
English
ISSN :
1539-3755
Volume :
77
Issue :
2 Pt 1
Database :
MEDLINE
Journal :
Physical review. E, Statistical, nonlinear, and soft matter physics
Publication Type :
Academic Journal
Accession number :
18352071
Full Text :
https://doi.org/10.1103/PhysRevE.77.022901