Survival and extinction of epidemics on random graphs with general degrees

Danny Nam
Danny Nam
Oanh Nguyen
Oanh Nguyen

arXiv: Probability, 2019.

Cited by: 0|Bibtex|Views11
Other Links: academic.microsoft.com|arxiv.org

Abstract:

In this paper, we establish the necessary and sufficient criterion for the contact process on Galton-Watson trees (resp. random graphs) to exhibit the phase of extinction (resp. short survival). We prove that the survival threshold $lambda_1$ for a Galton-Watson tree is strictly positive if and only if its offspring distribution $xi$ has ...More

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