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- W4241230560 abstract "The symbiotic branching model describes the dynamics of a spatial two-type popula- tion, where locally particles branch at a rate given by the frequency of the other type combined with nearest-neighbour migration. This model generalises various classic models in population dynamics, such as the stepping stone model and the mutually catalytic branching model. We are particularly interested in understanding the region of coexistence, i.e. the interface between the two types. In this chapter, we give an overview over our results that describe the dynamics of these interfaces at large scales. One of the reasons that this system is tractable is that it exhibits a rich duality theory. So at the same time, we take the opportunity to provide an introduction to the strength of duality methods in the context of spatial population models." @default.
- W4241230560 created "2022-05-12" @default.
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- W4241230560 date "2021-05-31" @default.
- W4241230560 modified "2023-10-02" @default.
- W4241230560 title "The symbiotic branching model: Duality and interfaces" @default.
- W4241230560 doi "https://doi.org/10.4171/ecr/17-1/15" @default.
- W4241230560 hasPublicationYear "2021" @default.
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