Spreading speeds in reducible multitype branching random walk

Details Spreading speeds in reducible multitype branching random walk Spreading speeds in reducible multitype branching random walk

2010-03-24

arxiv.org/abs/1003.4716v2

Mathematics

Probability

To appear in Annals of Applied Probability

Scientific paper

In a deterministic spatial population model with several types of individual Weinberger et al. (2007) noticed that it is possible for types to `work' cooperatively to produce a speed of spread that is faster than any single type could attain in on its own even when the type set is reducible. The model has much in common with multi-type branching random walk and the phenomenon is explored here in this context. The basic objective, which is achieved, is to show that there is a speed of spread in these processes and to identify the speed. The speed identified usually corresponds to an upper bound for the speed identified by Weinberger et al. (2007).

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