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Mutual Invadability Implies Coexistence in Spatial Models

Richard Durrett




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 | #15441203 in Books |  2002-03-01 | Original language:English | PDF # 1 |  9.75 x6.75 x.25l,.55 | Binding: Mass Market Paperback | 118 pages

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In (1994) Durrett and Levin proposed that the equilibrium behavior of stochastic spatial models could be determined from properties of the solution of the mean field ordinary differential equation (ODE) that is obtained by pretending that all sites are always independent. Here we prove a general result in support of that picture. We give a condition on an ordinary differential equation which implies that densities stay bounded away from 0 in the associated reaction-diffu...

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