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Mutual Invadability Implies Coexistence in Spatial Models (Paperback) Loot Price: R1,432
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Mutual Invadability Implies Coexistence in Spatial Models (Paperback): Richard Durrett
Mutual Invadability Implies Coexistence in Spatial Models (Paperback): Richard Durrett

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Mutual Invadability Implies Coexistence in Spatial Models (Paperback)

Richard Durrett

Series: Memoirs of the American Mathematical Society, No. 156

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Loot Price R1,432 Discovery Miles 14 320 | Repayment Terms: R133 pm x 12*

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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.

General

Imprint: American Mathematical Society
Country of origin: United States
Series: Memoirs of the American Mathematical Society, No. 156
Release date: 2002
Authors: Richard Durrett
Dimensions: 248 x 171mm (L x W)
Format: Paperback
Pages: 118
ISBN-13: 978-0-8218-2768-0
Barcode: 9780821827680
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Books > Science & Mathematics > Mathematics > Probability & statistics
Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics
LSN: 0-8218-2768-5

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