Survival of the scarcer.

@article{Gabel2013SurvivalOT,
  title={Survival of the scarcer.},
  author={Alan Gabel and Baruch Meerson and Sidney Redner},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2013},
  volume={87 1},
  pages={
          010101
        }
}
  • Alan Gabel, B. Meerson, S. Redner
  • Published 28 September 2012
  • Mathematics, Physics, Biology, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
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… 

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