In (1994) Durrett and Levin proposed that the equilibrium behaviour 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 Durrett proves a general result in support of that picture. He gives a condition on an ordinary differential equation which implies that densities stay bounded away from 0 in the associated reaction-diffusion equation, and that coexistence occurs in ...
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In (1994) Durrett and Levin proposed that the equilibrium behaviour 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 Durrett proves a general result in support of that picture. He gives a condition on an ordinary differential equation which implies that densities stay bounded away from 0 in the associated reaction-diffusion equation, and that coexistence occurs in the stochastic spatial model with fast stirring. Then, using biologists' notion of invadability as a guide, he shows how this condition can be checked in a wide variety of examples that involve two or three species: epidemics, diploid genetics models, predator-prey systems, and various competition models.
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Add this copy of Mutual Invadability Implies Coexistence in Spatial to cart. $47.00, like new condition, Sold by J. Hood, Booksellers, Inc. rated 5.0 out of 5 stars, ships from Baldwin City, KS, UNITED STATES, published 2002 by American Mathematical Society.
Add this copy of Mutual Invadability Implies Coexistence in Spatial to cart. $88.48, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2002 by Amer Mathematical Society.
