The Mutating Contact Process: Model Introduction and Qualitative Analysis of Phase Transitions in its Survival

Idan Alter; Gideon Amir

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arXiv · 1801.01530

The Mutating Contact Process: Model Introduction and Qualitative Analysis of Phase Transitions in its Survival

Idan Alter·Gideon Amir

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Abstract

We introduce and study the mutating contact process, a variant of the multitype contact process, where one type mutates at a constant rate to the other type. We prove that on $\mathbb{Z}$ a single mutant cannot survive while on $\mathbb{T}_{d}$ there are distinct weak survival and extinction of a single mutant phases, yet the limiting distribution concentrates on configurations with no mutants of the first type for any values of the parameters.

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Idan Alter, Gideon Amir. 2018-01-04. The Mutating Contact Process: Model Introduction and Qualitative Analysis of Phase Transitions in its Survival. https://arxiv.org/abs/1801.01530

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