39 citations · 44 across the 10 of their papers we have counts for
12 papers
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…
Likelihood-based inference for birth-death processes with composite birth mechanisms
Marko Lalovic, Nicos Georgiou, Istvan Z. Kiss
We develop a likelihood-based inference for finite-state birth-death processes with composite birth rates, in which multiple distinct mechanisms contribute additively to the total…
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…
Unveiling the impact of cross-order hyperdegree correlations in contagion processes on hypergraphs
Andrés Guzmán, Federico Malizia, István Z. Kiss
Contagion processes in social systems often involve interactions that go beyond pairwise contacts. Higher-order networks, represented as hypergraphs, have been widely used to model…
Nested hyperedges promote the onset of collective transitions but suppress explosive behavior
Federico Malizia, Andrés Guzmán, Federico Battiston +1
Higher-order interactions can induce abrupt collective transitions, yet the microscopic mechanisms controlling macroscopic critical behavior remain unclear. Here we show that neste…
Inferring contact network characteristics from epidemic data via compact mean-field models
Andrés Guzmán, Federico Malizia, Gyeong Ho Park +3
Modelling epidemics using contact networks provides a significant improvement over classical compartmental models by explicitly incorporating the network of contacts. However, whil…
Multi-strain spreading dynamics under arbitrary transmission kernels
Sagar Kumar, Moritz Laber, Maimuna S. Majumder +2
Compartmental models of epidemic dynamics have long described the propagation of a single, immutable transmissible state through a population via pairwise contact, and multi-strain…
Disentangling the role of heterogeneity and hyperedge overlap in explosive contagion on higher-order networks
Federico Malizia, Andrés Guzmán, Iacopo Iacopini +1
We introduce group-based compartmental modeling (GBCM), a mean-field framework for irreversible contagion in higher-order networks that captures structural heterogeneity and correl…
Decoding how higher-order network interactions shape complex contagion dynamics
István Z. Kiss, Christian Bick, Péter L. Simon
Complex contagion models that involve contagion along higher-order structures, such as simplicial complexes and hypergraphs, yield new classes of mean-field models. Interestingly,…
Insights from exact social contagion dynamics on networks with higher-order structures
István Z. Kiss, Iacopo Iacopini, Péter L. Simon +1
Recently there has been an increasing interest in studying dynamical processes on networks exhibiting higher-order structures, such as simplicial complexes, where the dynamics acts…
Exact equations for SIR epidemics on tree graphs
Kieran J. Sharkey, Istvan Z. Kiss, Robert R. Wilkinson +1
We consider Markovian susceptible-infectious-removed (SIR) dynamics on time-invariant weighted contact networks where the infection and removal processes are Poisson and where netw…