A contact process with mutations on a tree

@article{Liggett2006ACP,
  title={A contact process with mutations on a tree},
  author={T. Liggett and R. Schinazi and Jason Schweinsberg},
  journal={Stochastic Processes and their Applications},
  year={2006},
  volume={118},
  pages={319-332}
}
Consider the following stochastic model for immune response. Each pathogen gives birth to a new pathogen at rate [lambda]. When a new pathogen is born, it has the same type as its parent with probability 1-r. With probability r, a mutation occurs, and the new pathogen has a different type from all previously observed pathogens. When a new type appears in the population, it survives for an exponential amount of time with mean 1, independently of all the other types. All pathogens of that type… Expand
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