Corpus ID: 218486963

The stochastic Fisher-KPP Equation with seed bank and on/off-branching-coalescing Brownian motion

@article{Blath2020TheSF,
  title={The stochastic Fisher-KPP Equation with seed bank and on/off-branching-coalescing Brownian motion},
  author={Jochen Blath and Matthias Hammer and Florian Nie},
  journal={arXiv: Probability},
  year={2020}
}
We introduce a new class of stochastic partial differential equations (SPDEs) with seed bank modeling the spread of a beneficial allele in a spatial population where individuals may switch between an active and a dormant state. Incorporating dormancy and the resulting seed bank leads to a two-type coupled system of equations with migration between both states. We first discuss existence and uniqueness of seed bank SPDEs and provide an equivalent delay representation that allows a clear… Expand

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