activity
20122026
most citedExact equations for SIR epidemics on tree graphs

39 citations · 44 across the 10 of their papers we have counts for

collaborators

12 papers

physics.soc-ph2026

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…

physics.soc-ph2026

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…

math.ST2026

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…

physics.soc-ph2026

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…

physics.soc-ph2026

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…

physics.soc-ph2026

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…

physics.soc-ph2025

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…

physics.soc-ph2025

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…

physics.soc-ph2025★ 1 cited

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…

physics.soc-ph2024★ 4 cited

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,…

physics.soc-ph2023

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…

q-bio.PE2012★ 39 cited

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…