Gleeson_2011_highaccuracy.pdf (221.95 kB)
High-accuracy approximation of binary-state dynamics on networks
Binary-state dynamics (such as the susceptible-infected-susceptible (SIS) model of disease spread, or Glauber spin dynamics) on random networks are accurately approximated using master equations. Standard mean-field and pairwise theories are shown to result from seeking approximate solutions of the master equations. Applications to the calculation of SIS epidemic thresholds and critical points of nonequilibrium spin models are also demonstrated.
History
Publisher
American Physical SocietyNote
peer-reviewedOther Funding information
SFILanguage
EnglishAlso affiliated with
- MACSI - Mathematics Application Consortium for Science & Industry
External identifier
Department or School
- Mathematics & Statistics