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.
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Mueller, C., Tribe, R. A phase diagram for a stochastic reaction diffusion system. Probab. Theory Relat. Fields 149, 561–637 (2011). https://doi.org/10.1007/s00440-010-0265-z
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DOI: https://doi.org/10.1007/s00440-010-0265-z
Keywords
- Stochastic PDE
- Dawson–Watanabe process
- Exit measures
- Phase diagram
- Oriented percolation
Mathematics Subject Classification (2000)
- 60H12
- 35K57