Alan Gabel, Baruch Meerson, S. Redner
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 range of asymmetry in the growth and competition rates, the paradoxical situation in which the smaller-population (weaker) species survives longer.
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http://arxiv.org/abs/1210.0018
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