Survival of the Scarcer

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 quasi-stationary 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 quasi-stationary 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.
Comment: 5 pages, 2-column revtex4-1 format; current revision has stylistic changes in response to referees, for publication in PRE Rapid Communications -->
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevE.87.010101
Přístupová URL adresa: http://arxiv.org/abs/1210.0018
Přírůstkové číslo: edsarx.1210.0018
Autor: Gabel, Alan, Meerson, Baruch, Redner, S.
Rok vydání: 2012
Předmět:
Zdroj: Phys. Rev. E. (Rapid Communication) 87, 010101 (2013)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevE.87.010101
Popis: 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 quasi-stationary 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 quasi-stationary 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.
Comment: 5 pages, 2-column revtex4-1 format; current revision has stylistic changes in response to referees, for publication in PRE Rapid Communications
Databáze: arXiv
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