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A phase diagram for a stochastic reaction diffusion system
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Mueller, Carl and Tribe, Roger (2011) A phase diagram for a stochastic reaction diffusion system. Probability Theory and Related Fields, Volume 149 (Numbers 3-4). pp. 561-637. doi:10.1007/s00440-010-0265-z ISSN 0178-8051.
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Official URL: http://dx.doi.org/10.1007/s00440-010-0265-z
Abstract
In this paper a stochastic reaction diffusion system is considered, which models the spread of a finite population reacting with a non-renewable resource in the presence of individual based noise. A two-parameter phase diagram is established to describe the large time evolution, distinguishing between certain death or possible life of the population.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Stochastic partial differential equations, Phase diagrams, Percolation (Statistical physics), Reaction-diffusion equations | ||||
Journal or Publication Title: | Probability Theory and Related Fields | ||||
Publisher: | Springer | ||||
ISSN: | 0178-8051 | ||||
Official Date: | April 2011 | ||||
Dates: |
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Volume: | Volume 149 | ||||
Number: | Numbers 3-4 | ||||
Page Range: | pp. 561-637 | ||||
DOI: | 10.1007/s00440-010-0265-z | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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