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arxiv: 0901.3859 · v1 · submitted 2009-01-24 · 🧮 math.PR · math.AP

A phase diagram for a stochastic reaction diffusion system

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keywords diagramdiffusionphasepopulationreactionstochasticsystemcertain
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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.

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