TY - JOUR
T1 - Establishing a beachhead
T2 - A stochastic population model with an Allee effect applied to species invasion
AU - Ackleh, Azmy S.
AU - Allen, Linda J.S.
AU - Carter, Jacoby
N1 - Funding Information:
We thank two anonymous referees for their thorough review. Their careful and insightful comments helped to improve the original manuscript. We also thank Ken Krauss and Jarita Davis for their editorial comments. The work of A.S. Ackleh is supported in part by National Science Foundation Grants DMS-0311969 and DUE-0531915. The work of L.J.S. Allen is supported in part by the National Science Foundation Grant DMS-0201105.
PY - 2007/5
Y1 - 2007/5
N2 - We formulated a spatially explicit stochastic population model with an Allee effect in order to explore how invasive species may become established. In our model, we varied the degree of migration between local populations and used an Allee effect with variable birth and death rates. Because of the stochastic component, population sizes below the Allee effect threshold may still have a positive probability for successful invasion. The larger the network of populations, the greater the probability of an invasion occurring when initial population sizes are close to or above the Allee threshold. Furthermore, if migration rates are low, one or more than one patch may be successfully invaded, while if migration rates are high all patches are invaded.
AB - We formulated a spatially explicit stochastic population model with an Allee effect in order to explore how invasive species may become established. In our model, we varied the degree of migration between local populations and used an Allee effect with variable birth and death rates. Because of the stochastic component, population sizes below the Allee effect threshold may still have a positive probability for successful invasion. The larger the network of populations, the greater the probability of an invasion occurring when initial population sizes are close to or above the Allee threshold. Furthermore, if migration rates are low, one or more than one patch may be successfully invaded, while if migration rates are high all patches are invaded.
KW - Allee effect
KW - Invasive species
KW - Probability of successful invasion
KW - Spatially explicit stochastic model
UR - http://www.scopus.com/inward/record.url?scp=34047113508&partnerID=8YFLogxK
U2 - 10.1016/j.tpb.2006.12.006
DO - 10.1016/j.tpb.2006.12.006
M3 - Article
C2 - 17292932
AN - SCOPUS:34047113508
SN - 0040-5809
VL - 71
SP - 290
EP - 300
JO - Theoretical Population Biology
JF - Theoretical Population Biology
IS - 3
ER -