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Correcting mean-field approximations for birth-death-movement processes

Abstract:

On the microscale, migration, proliferation and death are crucial in the development, homeostasis and repair of an organism; on the macroscale, such effects are important in the sustainability of a population in its environment. Dependent on the relative rates of migration, proliferation and death, spatial heterogeneity may arise within an initially uniform field; this leads to the formation of spatial correlations and can have a negative impact upon population growth. Usually, such effects a...

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URN:
uuid:06c87ad2-5211-423e-8347-cdaab82c5365
Local pid:
oai:eprints.maths.ox.ac.uk:1359

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