A contact process with mutations on a tree

Stochastic Processes and their Applications

Volumn 118, Issue 3, 2008, Pages 319-332

  Liggett, Thomas M ^a   Schinazi, Rinaldo B ^b   Schweinsberg, Jason ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF COLORADO   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Branching process; Contact process; Immune system; Mutation; Spatial stochastic model

Indexed keywords

GENETIC ALGORITHMS; POPULATION STATISTICS; PROBABILITY DISTRIBUTIONS; STOCHASTIC MODELS; TREES (MATHEMATICS);

BRANCHING PROCESS; CONTACT PROCESSES; IMMUNE SYSTEMS; SPATIAL STOCHASTIC MODELS;

RANDOM PROCESSES;

EID: 38649086420     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2007.04.007     Document Type: Article

References (9)

1. N. Berger, C. Borgs, J. Chayes, A. Saberi, On the spread of viruses on the internet, in: Proceedings of the 16th ACM-SIAM Symposium on Discrete Algorithms, 2005, pp. 301-310
2. M. Draief, A. Ganesh, L. Massoulié, Thresholds for virus spread on networks, in: Proceedings of the 1st International Conference on Performance Evaluation Methodologies and Tools, article no. 51, 2006
3. A. Ganesh, L. Massoulié, D. Towsley, The effect of network topology on the spread of epidemics, in: Proceedings of IEEE INFOCOM 2005, 2005, pp. 1455-1466
4. Harris T.E. Contact interactions on a lattice. Ann. Probab. 2 (1974) 969-988
5. Liggett T.M. Interacting Particle Systems (1985), Springer, New York
6. Liggett T.M. Stochastic Interacting Systems: Contact, Voter and Exclusion Processes (1999), Springer, Berlin
7. Pastor-Satorras R., and Vespignani A. Epidemic spreading in scale-free networks. Phys. Rev. E 86 (2001) 3200-3203
8. Pemantle R. The contact process on trees. Ann. Probab. 20 (1992) 2089-2116
9. R.B. Schinazi, J. Schweinsberg, Spatial and non-spatial stochastic models for immune response, Markov Process. Related Fields (2006) (in press)