TY - JOUR
T1 - Population extinction and survival in a hostile environment
AU - Méndez, Vicenç
AU - Campos, Daniel
PY - 2008/2/4
Y1 - 2008/2/4
N2 - 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. © 2008 The American Physical Society.
AB - 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. © 2008 The American Physical Society.
U2 - 10.1103/PhysRevE.77.022901
DO - 10.1103/PhysRevE.77.022901
M3 - Article
SN - 1539-3755
VL - 77
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
M1 - 022901
ER -