39 citations · 39 across the 6 of their papers we have counts for
5 papers · 1 filter
Fast-variable reduction to complex contagion unifies epidemic models
Laurent Hébert-Dufresne, Péter L. Simon, István Z. Kiss
Across biological and social complex systems, models of epidemics or contagions incorporate complexity through network correlations, adaptive behavior, higher-order interactions, o…
A principled closure framework for higher-order SIS epidemic models on networks
Kevin Teo, Peter L Simon, István Zoltán Kiss
Susceptible-infected-susceptible (SIS) epidemic models on networks are governed by hierarchical moment equations where the dynamics of smaller subsystems depend on the state of lar…
Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains
Gábor Timár, Jonathan A. Ward, Péter L. Simon
Mean-field approximations for dynamical processes on networks are widely used, but existing derivations often rely either on moment closures or on idealised assumptions about netwo…
To trace or not to trace: analytical insights from network-based contact-tracing models
Giulia de Meijere, Andrea Pugliese, Gerardo Iñiguez +2
Contact tracing is one of the most important control measures deployed during epidemics. Relying on the identification of contacts of known infected individuals, it necessitates a…
On the accuracy of population level approximation of network processes
Noémi Nagy, Sándor Horváth, Balázs Maga +1
The individual-based model of simple contagion processes is considered on regular graphs. This model explicitly incorporates the adjacency matrix of the network enabling us to stud…