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Branching processes with spatial structure in population models

Abstract:

We consider three different settings for branching processes with spatial structure which appear in population models.

Firstly, we consider the effect of adding a competitive interaction between nearby individuals in a branching Brownian motion. Each individual has a mass which decays when other individuals are nearby. We study the front location: the location at which the local mass density drops to o(1). We show that there are arbitrarily large times t at which the front location...

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Role:
Supervisor
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Grant:
DTG EP/K503113/1
Funding agency for:
Sarah Penington
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford

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