TY - JOUR
T1 - Survival of the scarcer
AU - Gabel, Alan
AU - Meerson, Baruch
AU - Redner, S.
PY - 2013/1/3
Y1 - 2013/1/3
N2 - We investigate extinction dynamics in the paradigmatic model of two competing species A and B that reproduce (A→2A, B→2B), self-regulate by annihilation (2A→0, 2B→0), and compete (A+B→A, A+B→B). For a finite system that is in the well-mixed limit, a quasistationary state arises which describes coexistence of the two species. Because of discrete noise, both species eventually become extinct in time that is exponentially long in the quasistationary population size. For a sizable range of asymmetries in the growth and competition rates, the paradoxical situation arises in which the numerically disadvantaged species according to the deterministic rate equations survives much longer.
AB - We investigate extinction dynamics in the paradigmatic model of two competing species A and B that reproduce (A→2A, B→2B), self-regulate by annihilation (2A→0, 2B→0), and compete (A+B→A, A+B→B). For a finite system that is in the well-mixed limit, a quasistationary state arises which describes coexistence of the two species. Because of discrete noise, both species eventually become extinct in time that is exponentially long in the quasistationary population size. For a sizable range of asymmetries in the growth and competition rates, the paradoxical situation arises in which the numerically disadvantaged species according to the deterministic rate equations survives much longer.
UR - http://www.scopus.com/inward/record.url?scp=84872326765&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.87.010101
DO - 10.1103/PhysRevE.87.010101
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C2 - 23410268
AN - SCOPUS:84872326765
SN - 1539-3755
VL - 87
JO - Physical Review E
JF - Physical Review E
IS - 1
M1 - 010101
ER -
