A contact process with mutations on a tree

  title={A contact process with mutations on a tree},
  author={T. Liggett and R. Schinazi and Jason Schweinsberg},
  journal={Stochastic Processes and their Applications},
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
Stochastic models for large interacting systems and related correlation inequalities
  • T. Liggett
  • Computer Science, Medicine
  • Proceedings of the National Academy of Sciences
  • 2010
Contact Process with Destruction of Cubes and Hyperplanes: Forest Fires Versus Tornadoes
  • N. Lanchier
  • Mathematics
  • Journal of Applied Probability
  • 2011
Submodularity of Influence in Social Networks: From Local to Global
On the submodularity of influence in social networks


The Contact Process on Trees
Spatial and non-spatial stochastic models for immune response
Thresholds for virus spread on networks
The effect of network topology on the spread of epidemics
On the spread of viruses on the internet
Epidemic spreading in scale-free networks.
Contact Interactions on a Lattice