A phase diagram for a stochastic reaction diffusion system

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Mueller, Carl
Tribe, Roger
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Abstract
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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.
Keywords
Mathematics - Probability, Mathematics - Analysis of PDEs, 60H15, 35K57
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