Systems, Processes and Networks Lab

Publications

This page lists our lab’s publications. For a complete and up-to-date list, please refer to our profiles on Google Scholar.

Highlighted Publication

Mathematics of epidemics on networks
Mathematics of epidemics on networks
István Z. Kiss, Joel C. Miller, Péter L. Simon
Springer  ·  22 May 2017  ·  doi:10.1007/978-3-319-50806-1
View on Springer
Table of Contents
epidemiology network-theory mathematical-modeling

All Publications

2025

Decoding how higher-order network interactions shape contagion dynamics
Decoding how higher-order network interactions shape contagion dynamics
István Z. Kiss, Christian Bick, Péter L. Simon
Journal of Mathematical Biology  ·  19 Aug 2025  ·  doi:10.1007/s00285-025-02247-4
Inferring contact network characteristics from epidemic data via compact mean-field models
Inferring contact network characteristics from epidemic data via compact mean-field models
Andrés Guzmán, Federico Malizia, Gyeong Ho Park, Boseung Choi, Diana Cole, István Z Kiss
Journal of Complex Networks  ·  26 Jun 2025  ·  doi:10.1093/comnet/cnaf018
Disentangling the role of heterogeneity and hyperedge overlap in explosive contagion on higher-order networks
Disentangling the role of heterogeneity and hyperedge overlap in explosive contagion on higher-order networks
Federico Malizia, Andrés Guzmán, Iacopo Iacopini, István Z. Kiss
arXiv  ·  16 May 2025  ·  arxiv:2501.17800
View PDF
higher-order-networks contagion-dynamics physics.soc-ph
Unveiling individual and collective temporal patterns in the tanker shipping network
Unveiling individual and collective temporal patterns in the tanker shipping network
Kevin Teo, Naomi Arnold, Andrew Hone, Michael Coulon, Martin Ireland, Mauricio Santillana, István Zoltán Kiss
arXiv  ·  27 Feb 2025  ·  arXiv:2502.19957

2024

Performance of higher-order networks in reconstructing sequential paths: from micro to macro scale
Performance of higher-order networks in reconstructing sequential paths: from micro to macro scale
Kevin Teo, Naomi Arnold, Andrew Hone, István Zoltán Kiss
Journal of Complex Networks  ·  29 Dec 2024  ·  doi:10.1093/comnet/cnae050
Ethical dilemma arises from optimizing interventions for epidemics in heterogeneous populations
Ethical dilemma arises from optimizing interventions for epidemics in heterogeneous populations
Pratyush K. Kollepara, Rebecca H. Chisholm, István Z. Kiss, Joel C. Miller
Journal of The Royal Society Interface  ·  01 Feb 2024  ·  doi:10.1098/rsif.2023.0612

2023

Towards Inferring Network Properties from Epidemic Data
Towards Inferring Network Properties from Epidemic Data
Istvan Z. Kiss, Luc Berthouze, Wasiur R. KhudaBukhsh
Bulletin of Mathematical Biology  ·  08 Dec 2023  ·  doi:10.1007/s11538-023-01235-3
Insights from exact social contagion dynamics on networks with higher-order structures
Insights from exact social contagion dynamics on networks with higher-order structures
István Z Kiss, Iacopo Iacopini, Péter L Simon, Nicos Georgiou
Journal of Complex Networks  ·  07 Nov 2023  ·  doi:10.1093/comnet/cnad044
Necessary and sufficient conditions for exact closures of epidemic equations on configuration model networks
Necessary and sufficient conditions for exact closures of epidemic equations on configuration model networks
István Z. Kiss, Eben Kenah, Grzegorz A. Rempała
Journal of Mathematical Biology  ·  01 Aug 2023  ·  doi:10.1007/s00285-023-01967-9
On Parameter Identifiability in Network-Based Epidemic Models
On Parameter Identifiability in Network-Based Epidemic Models
István Z. Kiss, Péter L. Simon
Bulletin of Mathematical Biology  ·  27 Jan 2023  ·  doi:10.1007/s11538-023-01121-y

2022

Probabilistic predictions of SIS epidemics on networks based on population-level observations
Probabilistic predictions of SIS epidemics on networks based on population-level observations
Tanja Zerenner, Francesco Di Lauro, Masoumeh Dashti, Luc Berthouze, Istvan Z Kiss
Elsevier  ·  01 Aug 2022  ·  doi:10.1016/j.mbs.2022.108854
Dynamic survival analysis for non-Markovian epidemic models
Dynamic survival analysis for non-Markovian epidemic models
Francesco Di Lauro, Wasiur R. KhudaBukhsh, István Z. Kiss, Eben Kenah, Max Jensen, Grzegorz A. Rempała
Journal of The Royal Society Interface  ·  01 Jun 2022  ·  doi:10.1098/rsif.2022.0124
Can epidemic models describe the spread of research topics across disciplines
Can epidemic models describe the spread of research topics across disciplines?
12th International Conference on Scientometrics and Informetrics, ISSI 2009  ·  27 May 2022  ·  [no id info]
Comment on a binomial moment approximation scheme for epidemic spreading in networks in U.P.B. Sci. Bull., Series a, vol. 76, ISS. 2, 2014
Comment on a binomial moment approximation scheme for epidemic spreading in networks in U.P.B. Sci. Bull., Series a, vol. 76, ISS. 2, 2014
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics  ·  27 May 2022  ·  [no id info]
The impact of spatial and social structure on an SIR epidemic on a weighted multilayer network
The impact of spatial and social structure on an SIR epidemic on a weighted multilayer network
Ágnes Backhausz, István Z Kiss, Péter L Simon
Springer  ·  06 Jan 2022  ·  doi:10.1007/s10998-021-00440-8
Network analysis of England s single parent household COVID-19 control policy impact: a proof-of-concept study
Network analysis of England's single parent household COVID-19 control policy impact: a proof-of-concept study
N. L. Edelman, P. Simon, J. A. Cassell, I. Z. Kiss
Epidemiology and Infection  ·  01 Jan 2022  ·  doi:10.1017/S0950268822000905

2021

How can risk of COVID-19 transmission be minimised in domiciliary care for older people: development, parameterisation and initial results of a simple mathematical model
How can risk of COVID-19 transmission be minimised in domiciliary care for older people: development, parameterisation and initial results of a simple mathematical model
István Z. Kiss, Konstantin B. Blyuss, Yuliya N. Kyrychko, Jo Middleton, Daniel Roland, …, Leanne Bogen-Johnston, Wendy Wood, Rebecca Sharp, Julien Forder, Jackie A. Cassell
Epidemiology and Infection  ·  17 Dec 2021  ·  doi:10.1017/S0950268821002727
The Impact of Contact Structure and Mixing on Control Measures and Disease-Induced Herd Immunity in Epidemic Models: A Mean-Field Model Perspective
The Impact of Contact Structure and Mixing on Control Measures and Disease-Induced Herd Immunity in Epidemic Models: A Mean-Field Model Perspective
Francesco Di Lauro, Luc Berthouze, Matthew D. Dorey, Joel C. Miller, István Z. Kiss
Bulletin of Mathematical Biology  ·  15 Oct 2021  ·  doi:10.1007/s11538-021-00947-8
Optimal timing of one-shot interventions for epidemic control
Optimal timing of one-shot interventions for epidemic control
Francesco Di Lauro, István Z. Kiss, Joel C. Miller
PLOS Computational Biology  ·  18 Mar 2021  ·  doi:10.1371/journal.pcbi.1008763
Beyond COVID-19: network science and sustainable exit strategies
Beyond COVID-19: network science and sustainable exit strategies
J Bell, G Bianconi, D Butler, J Crowcroft, PC Davies, …, H Kim, IZ Kiss, F Di Lauro, C Maple, A Paul
IOP Publishing  ·  02 Feb 2021  ·  doi:10.1088/2632-072X/abcbea

2020

The timing of one-shot interventions for epidemic control
The timing of one-shot interventions for epidemic control
Francesco Di Lauro, István Z. Kiss, Joel C. Miller
Cold Spring Harbor Laboratory  ·  06 Mar 2020  ·  doi:10.1101/2020.03.02.20030007

2019

A monotonic relationship between the variability of the infectious period and final size in pairwise epidemic modelling
A monotonic relationship between the variability of the infectious period and final size in pairwise epidemic modelling
Zsolt Vizi, István Z. Kiss, Joel C. Miller, Gergely Röst
Journal of Mathematics in Industry  ·  01 Feb 2019  ·  doi:10.1186/s13362-019-0058-7

2018

Fast Variables Determine the Epidemic Threshold in the Pairwise Model with an Improved Closure
Fast Variables Determine the Epidemic Threshold in the Pairwise Model with an Improved Closure
István Z. Kiss, Joel C. Miller, Péter L. Simon
Studies in Computational Intelligence  ·  02 Dec 2018  ·  doi:10.1007/978-3-030-05411-3_30
Mapping Structural Diversity in Networks Sharing a Given Degree Distribution and Global Clustering: Adaptive Resolution Grid Search Evolution with Diophantine Equation-Based Mutations
Mapping Structural Diversity in Networks Sharing a Given Degree Distribution and Global Clustering: Adaptive Resolution Grid Search Evolution with Diophantine Equation-Based Mutations
Peter Overbury, István Z. Kiss, Luc Berthouze
Studies in Computational Intelligence  ·  02 Dec 2018  ·  doi:10.1007/978-3-030-05411-3_57
Consistent Approximation of Epidemic Dynamics on Degree-Heterogeneous Clustered Networks
Consistent Approximation of Epidemic Dynamics on Degree-Heterogeneous Clustered Networks
A. Bishop, I. Z. Kiss, T. House
Studies in Computational Intelligence  ·  02 Dec 2018  ·  doi:10.1007/978-3-030-05411-3_31
Edge-Based Compartmental Modelling of an SIR Epidemic on a Dual-Layer Static Dynamic Multiplex Network with Tunable Clustering
Edge-Based Compartmental Modelling of an SIR Epidemic on a Dual-Layer Static–Dynamic Multiplex Network with Tunable Clustering
Rosanna C. Barnard, Istvan Z. Kiss, Luc Berthouze, Joel C. Miller
Bulletin of Mathematical Biology  ·  22 Aug 2018  ·  doi:10.1007/s11538-018-0484-5
The Mathematics of Human Contact: Developing a Model for Social Interaction in School Children
The Mathematics of Human Contact: Developing a Model for Social Interaction in School Children
S. Ashton, E. Scalas, N. Georgiou, I. Kiss
Acta Physica Polonica A  ·  01 Jun 2018  ·  doi:10.12693/APhysPolA.133.1421
Bursting endemic bubbles in an adaptive network
Bursting endemic bubbles in an adaptive network
N. Sherborne, K. B. Blyuss, I. Z. Kiss
Physical Review E  ·  09 Apr 2018  ·  doi:10.1103/PhysRevE.97.042306
Network events in a large commercial network: What can we learn
Network events in a large commercial network: What can we learn?
Antoine Messager, George Parisis, Robert Harper, Philip Tee, Istvan Z. Kiss, Luc Berthouze
NOMS 2018 - 2018 IEEE/IFIP Network Operations and Management Symposium  ·  01 Apr 2018  ·  doi:10.1109/NOMS.2018.8406289
Pairwise approximation for i SIR i -type network epidemics with non-Markovian recovery
Pairwise approximation for SIR -type network epidemics with non-Markovian recovery
G. Röst, Z. Vizi, I. Z. Kiss
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences  ·  01 Feb 2018  ·  doi:10.1098/rspa.2017.0695
On bounding exact models of epidemic spread on networks
On bounding exact models of epidemic spread on networks
Péter L. Simon, Istvan Z. Kiss
Discrete & Continuous Dynamical Systems - B  ·  01 Jan 2018  ·  doi:10.3934/dcdsb.2018192

2017

Constraints and entropy in a model of network evolution
Constraints and entropy in a model of network evolution
Philip Tee, Ian Wakeman, George Parisis, Jonathan Dawes, István Z. Kiss
The European Physical Journal B  ·  01 Nov 2017  ·  doi:10.1140/epjb/e2017-80185-5
Mean-field models for non-Markovian epidemics on networks
Mean-field models for non-Markovian epidemics on networks
Neil Sherborne, Joel C. Miller, Konstantin B. Blyuss, Istvan Z. Kiss
Journal of Mathematical Biology  ·  06 Jul 2017  ·  doi:10.1007/s00285-017-1155-0
Mathematics of epidemics on networks
Mathematics of epidemics on networks
István Z. Kiss, Joel C. Miller, Péter L. Simon
Springer  ·  22 May 2017  ·  doi:10.1007/978-3-319-50806-1
View on Springer
Table of Contents
epidemiology network-theory mathematical-modeling
Clustered Arrangement of Inhibitory Neurons Can Lead to Oscillatory Dynamics in a Model of Activity-Dependent Structural Plasticity
Clustered Arrangement of Inhibitory Neurons Can Lead to Oscillatory Dynamics in a Model of Activity-Dependent Structural Plasticity
Rosanna C. Barnard, Istvan Z. Kiss, Simon F. Farmer, Luc Berthouze
The Rewiring Brain  ·  01 Jan 2017  ·  doi:10.1016/B978-0-12-803784-3.00006-8

2016

A genetic algorithm-based approach to mapping the diversity of networks sharing a given degree distribution and global clustering
A genetic algorithm-based approach to mapping the diversity of networks sharing a given degree distribution and global clustering
Peter Overbury, Istvan Z. Kiss, Luc Berthouze
Studies in Computational Intelligence  ·  30 Nov 2016  ·  doi:10.1007/978-3-319-50901-3_18
Compact pairwise models for epidemics with multiple infectious stages on degree heterogeneous and clustered networks
Compact pairwise models for epidemics with multiple infectious stages on degree heterogeneous and clustered networks
N. Sherborne, K.B. Blyuss, I.Z. Kiss
Journal of Theoretical Biology  ·  01 Oct 2016  ·  doi:10.1016/j.jtbi.2016.07.015
Generation and analysis of networks with a prescribed degree sequence and subgraph family: higher-order structure matters
Generation and analysis of networks with a prescribed degree sequence and subgraph family: higher-order structure matters
Martin Ritchie, Luc Berthouze, Istvan Z. Kiss
Journal of Complex Networks  ·  16 May 2016  ·  doi:10.1093/comnet/cnw011
The effect of local inter-inhibitory connectivity on the dynamics of an activity-dependent neuronal network growth model
The effect of local inter-inhibitory connectivity on the dynamics of an activity-dependent neuronal network growth model
Rosanna C. Barnard, Istvan Z. Kiss, Luc Berthouze
Cold Spring Harbor Laboratory  ·  10 May 2016  ·  doi:10.1101/052589

2015

Solvable non-Markovian dynamic network
Solvable non-Markovian dynamic network
Nicos Georgiou, Istvan Z. Kiss, Enrico Scalas
Physical Review E  ·  02 Oct 2015  ·  doi:10.1103/PhysRevE.92.042801
Dynamics of Multi-stage Infections on Networks
Dynamics of Multi-stage Infections on Networks
N. Sherborne, K. B. Blyuss, I. Z. Kiss
Bulletin of Mathematical Biology  ·  24 Sep 2015  ·  doi:10.1007/s11538-015-0109-1
Generalization of Pairwise Models to non-Markovian Epidemics on Networks
Generalization of Pairwise Models to non-Markovian Epidemics on Networks
Istvan Z. Kiss, Gergely Röst, Zsolt Vizi
Physical Review Letters  ·  13 Aug 2015  ·  doi:10.1103/PhysRevLett.115.078701
Super compact pairwise model for SIS epidemic on heterogeneous networks
Super compact pairwise model for SIS epidemic on heterogeneous networks
Péter L. Simon, Istvan Z. Kiss
Journal of Complex Networks  ·  24 Jul 2015  ·  doi:10.1093/comnet/cnv018
Oscillating epidemics in a dynamic network model: stochastic and mean-field analysis
Oscillating epidemics in a dynamic network model: stochastic and mean-field analysis
András Szabó-Solticzky, Luc Berthouze, Istvan Z. Kiss, Péter L. Simon
Journal of Mathematical Biology  ·  11 Jun 2015  ·  doi:10.1007/s00285-015-0902-3
Beyond clustering: mean-field dynamics on networks with arbitrary subgraph composition
Beyond clustering: mean-field dynamics on networks with arbitrary subgraph composition
Martin Ritchie, Luc Berthouze, Istvan Z. Kiss
Journal of Mathematical Biology  ·  17 Apr 2015  ·  doi:10.1007/s00285-015-0884-1
Dynamic Control of Modern, Network-Based Epidemic Models
Dynamic Control of Modern, Network-Based Epidemic Models
Fanni Sélley, Ádám Besenyei, Istvan Z. Kiss, Péter L. Simon
SIAM Journal on Applied Dynamical Systems  ·  01 Jan 2015  ·  doi:10.1137/130947039
Analysis of an epidemic model with awareness decay on regular random networks
Analysis of an epidemic model with awareness decay on regular random networks
David Juher, Istvan Z. Kiss, Joan Saldaña
Journal of Theoretical Biology  ·  01 Jan 2015  ·  doi:10.1016/j.jtbi.2014.10.013

2014

Impact of constrained rewiring on network structure and node dynamics
Impact of constrained rewiring on network structure and node dynamics
P. Rattana, L. Berthouze, I. Z. Kiss
Physical Review E  ·  11 Nov 2014  ·  doi:10.1103/PhysRevE.90.052806
Higher-order structure and epidemic dynamics in clustered networks
Higher-order structure and epidemic dynamics in clustered networks
Martin Ritchie, Luc Berthouze, Thomas House, Istvan Z. Kiss
Journal of Theoretical Biology  ·  01 May 2014  ·  doi:10.1016/j.jtbi.2014.01.025
Identification of Criticality in Neuronal Avalanches: II. A Theoretical and Empirical Investigation of the Driven Case
Identification of Criticality in Neuronal Avalanches: II. A Theoretical and Empirical Investigation of the Driven Case
Caroline Hartley, Timothy J Taylor, Istvan Z Kiss, Simon F Farmer, Luc Berthouze
The Journal of Mathematical Neuroscience  ·  25 Apr 2014  ·  doi:10.1186/2190-8567-4-9
Exact deterministic representation of Markovian SIR S I R epidemics on networks with and without loops
Exact deterministic representation of Markovian $${ SIR}$$ S I R epidemics on networks with and without loops
Istvan Z. Kiss, Charles G. Morris, Fanni Sélley, Péter L. Simon, Robert R. Wilkinson
Journal of Mathematical Biology  ·  04 Mar 2014  ·  doi:10.1007/s00285-014-0772-0
Pairwise and Edge-based Models of Epidemic Dynamics on Correlated Weighted Networks
Pairwise and Edge-based Models of Epidemic Dynamics on Correlated Weighted Networks
P. Rattana, J.C. Miller, I.Z. Kiss
Mathematical Modelling of Natural Phenomena  ·  01 Jan 2014  ·  doi:10.1051/mmnp/20149204
Epidemic Spread in Networks: Existing Methods and Current Challenges
Epidemic Spread in Networks: Existing Methods and Current Challenges
J. C. Miller, I. Z. Kiss
Mathematical Modelling of Natural Phenomena  ·  01 Jan 2014  ·  doi:10.1051/mmnp/20149202
Approximate Master Equations for Dynamical Processes on Graphs
Approximate Master Equations for Dynamical Processes on Graphs
N. Nagy, I.Z. Kiss, P.L. Simon
Mathematical Modelling of Natural Phenomena  ·  01 Jan 2014  ·  doi:10.1051/mmnp/20149203

2013

Exact Equations for SIR Epidemics on Tree Graphs
Exact Equations for SIR Epidemics on Tree Graphs
K. J. Sharkey, I. Z. Kiss, R. R. Wilkinson, P. L. Simon
Bulletin of Mathematical Biology  ·  18 Dec 2013  ·  doi:10.1007/s11538-013-9923-5
Interdependency and hierarchy of exact and approximate epidemic models on networks
Interdependency and hierarchy of exact and approximate epidemic models on networks
Timothy J. Taylor, Istvan Z. Kiss
Journal of Mathematical Biology  ·  06 Jun 2013  ·  doi:10.1007/s00285-013-0699-x
A Class of Pairwise Models for Epidemic Dynamics on Weighted Networks
A Class of Pairwise Models for Epidemic Dynamics on Weighted Networks
Prapanporn Rattana, Konstantin B. Blyuss, Ken T. D. Eames, Istvan Z. Kiss
Bulletin of Mathematical Biology  ·  02 Feb 2013  ·  doi:10.1007/s11538-013-9816-7

2012

Incorporating Human Behaviour in Epidemic Dynamics: A Modelling Perspective
Incorporating Human Behaviour in Epidemic Dynamics: A Modelling Perspective
Istvan Z. Kiss
Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases  ·  28 Nov 2012  ·  doi:10.1007/978-1-4614-5474-8_8
Approximating evolutionary dynamics on networks using a Neighbourhood Configuration model
Approximating evolutionary dynamics on networks using a Neighbourhood Configuration model
Christoforos Hadjichrysanthou, Mark Broom, Istvan Z. Kiss
Journal of Theoretical Biology  ·  01 Nov 2012  ·  doi:10.1016/j.jtbi.2012.07.015
Models to capture the potential for disease transmission in domestic sheep flocks
Models to capture the potential for disease transmission in domestic sheep flocks
David Schley, Sophie Whittle, Michael Taylor, Istvan Zoltan Kiss
Preventive Veterinary Medicine  ·  01 Sep 2012  ·  doi:10.1016/j.prevetmed.2012.01.023
New Moment Closures Based on A Priori Distributions with Applications to Epidemic Dynamics
New Moment Closures Based on A Priori Distributions with Applications to Epidemic Dynamics
Istvan Z. Kiss, Péter L. Simon
Bulletin of Mathematical Biology  ·  04 Apr 2012  ·  doi:10.1007/s11538-012-9723-3
From exact stochastic to mean-field ODE models: a new approach to prove convergence results
From exact stochastic to mean-field ODE models: a new approach to prove convergence results
P. L. Simon, I. Z. Kiss
IMA Journal of Applied Mathematics  ·  30 Mar 2012  ·  doi:10.1093/imamat/hxs001
Modelling approaches for simple dynamic networks and applications to disease transmission models
Modelling approaches for simple dynamic networks and applications to disease transmission models
Istvan Z. Kiss, Luc Berthouze, Timothy J. Taylor, Péter L. Simon
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences  ·  18 Jan 2012  ·  doi:10.1098/rspa.2011.0349
Epidemic threshold and control in a dynamic network
Epidemic threshold and control in a dynamic network
Michael Taylor, Timothy J. Taylor, Istvan Z. Kiss
Physical Review E  ·  05 Jan 2012  ·  doi:10.1103/PhysRevE.85.016103
Differential equation approximations of stochastic network processes: An operator semigroup approach
Differential equation approximations of stochastic network processes: An operator semigroup approach
András Bátkai, Istvan Z. Kiss, Eszter Sikolya, Péter L. Simon
Networks & Heterogeneous Media  ·  01 Jan 2012  ·  doi:10.3934/nhm.2012.7.43

2011

From Markovian to pairwise epidemic models and the performance of moment closure approximations
From Markovian to pairwise epidemic models and the performance of moment closure approximations
Michael Taylor, Péter L. Simon, Darren M. Green, Thomas House, Istvan Z. Kiss
Journal of Mathematical Biology  ·  14 Jun 2011  ·  doi:10.1007/s00285-011-0443-3
Multiple sources and routes of information transmission: Implications for epidemic dynamics
Multiple sources and routes of information transmission: Implications for epidemic dynamics
Vasilis Hatzopoulos, Michael Taylor, Péter L. Simon, Istvan Z. Kiss
Mathematical Biosciences  ·  01 Jun 2011  ·  doi:10.1016/j.mbs.2011.03.006
Tools to study trends in community structure: Application to fish and livestock trading networks
Tools to study trends in community structure: Application to fish and livestock trading networks
Darren Michael Green, Marleen Werkman, Lorna Ann Munro, Rowland Raymond Kao, István Zoltán Kiss, Leon Danon
Preventive Veterinary Medicine  ·  01 May 2011  ·  doi:10.1016/j.prevetmed.2011.01.008
The potential spread of highly pathogenic avian influenza virus via dynamic contacts between poultry premises in Great Britain
The potential spread of highly pathogenic avian influenza virus via dynamic contacts between poultry premises in Great Britain
Jennifer E Dent, Istvan Z Kiss, Rowland R Kao, Mark Arnold
BMC Veterinary Research  ·  01 Jan 2011  ·  doi:10.1186/1746-6148-7-59

2010

Large-scale properties of clustered networks: implications for disease dynamics
Large-scale properties of clustered networks: implications for disease dynamics
Darren M. Green, Istvan Z. Kiss
Journal of Biological Dynamics  ·  01 Sep 2010  ·  doi:10.1080/17513758.2010.487158
The impact of information transmission on epidemic outbreaks
The impact of information transmission on epidemic outbreaks
Istvan Z. Kiss, Jackie Cassell, Mario Recker, Péter L. Simon
Mathematical Biosciences  ·  01 May 2010  ·  doi:10.1016/j.mbs.2009.11.009
Exact epidemic models on graphs using graph-automorphism driven lumping
Exact epidemic models on graphs using graph-automorphism driven lumping
Péter L. Simon, Michael Taylor, Istvan Z. Kiss
Journal of Mathematical Biology  ·  28 Apr 2010  ·  doi:10.1007/s00285-010-0344-x
Can epidemic models describe the diffusion of topics across disciplines
Can epidemic models describe the diffusion of topics across disciplines?
Istvan Z. Kiss, Mark Broom, Paul G. Craze, Ismael Rafols
Journal of Informetrics  ·  01 Jan 2010  ·  doi:10.1016/j.joi.2009.08.002

2009

Network Concepts and Epidemiological Models
Network Concepts and Epidemiological Models
ROWLAND R. KAO, ISTVAN Z. KISS
Statistical and Evolutionary Analysis of Biological Networks  ·  01 Dec 2009  ·  doi:10.1142/9781848164345_0005
A Contact-Network-Based Formulation of a Preferential Mixing Model
A Contact-Network-Based Formulation of a Preferential Mixing Model
Istvan Z. Kiss, Péter L. Simon, Rowland R. Kao
Bulletin of Mathematical Biology  ·  12 Feb 2009  ·  doi:10.1007/s11538-008-9386-2

2008

A network approach to modeling population aggregation and genetic control of pest insects
A network approach to modeling population aggregation and genetic control of pest insects
Laith Yakob, Istvan Z. Kiss, Michael B. Bonsall
Theoretical Population Biology  ·  01 Dec 2008  ·  doi:10.1016/j.tpb.2008.09.003
Comment on Properties of highly clustered networks
Comment on “Properties of highly clustered networks”
Istvan Z. Kiss, Darren M. Green
Physical Review E  ·  27 Oct 2008  ·  doi:10.1103/PhysRevE.78.048101
Estimates for local and movement-based transmission of bovine tuberculosis in British cattle
Estimates for local and movement-based transmission of bovine tuberculosis in British cattle
Darren M Green, Istvan Z Kiss, Andrew P Mitchell, Rowland R Kao
Proceedings of the Royal Society B: Biological Sciences  ·  12 Feb 2008  ·  doi:10.1098/rspb.2007.1601
Contact structures in the poultry industry in Great Britain: Exploring transmission routes for a potential avian influenza virus epidemic.
Contact structures in the poultry industry in Great Britain: Exploring transmission routes for a potential avian influenza virus epidemic.
Jennifer E Dent, Rowland R Kao, Istvan Z Kiss, Kieran Hyder, Mark Arnold
BMC Veterinary Research  ·  01 Jan 2008  ·  doi:10.1186/1746-6148-4-27

2007

The effect of network mixing patterns on epidemic dynamics and the efficacy of disease contact tracing
The effect of network mixing patterns on epidemic dynamics and the efficacy of disease contact tracing
Istvan Z Kiss, Darren M Green, Rowland R Kao
Journal of The Royal Society Interface  ·  04 Dec 2007  ·  doi:10.1098/rsif.2007.1272
Demographic risk factors for classical and atypical scrapie in Great Britain
Demographic risk factors for classical and atypical scrapie in Great Britain
Darren M. Green, Victor J. del Rio Vilas, Colin P. D. Birch, Jethro Johnson, Istvan Z. Kiss, Noel D. McCarthy, Rowland R. Kao
Journal of General Virology  ·  01 Dec 2007  ·  doi:10.1099/vir.0.83225-0
Disease dynamics over very different time-scales: foot-and-mouth disease and scrapie on the network of livestock movements in the UK
Disease dynamics over very different time-scales: foot-and-mouth disease and scrapie on the network of livestock movements in the UK
Rowland R Kao, Darren M Green, Jethro Johnson, Istvan Z Kiss
Journal of The Royal Society Interface  ·  14 Aug 2007  ·  doi:10.1098/rsif.2007.1129

2006

Parasite strain coexistence in a heterogeneous host population
Parasite strain coexistence in a heterogeneous host population
Darren M. Green, Istvan Z. Kiss, Rowland R. Kao
Oikos  ·  16 Nov 2006  ·  doi:10.1111/j.2006.0030-1299.15155.x
The effect of contact heterogeneity and multiple routes of transmission on final epidemic size
The effect of contact heterogeneity and multiple routes of transmission on final epidemic size
Istvan Z. Kiss, Darren M. Green, Rowland R. Kao
Mathematical Biosciences  ·  01 Sep 2006  ·  doi:10.1016/j.mbs.2006.03.002
Modelling the initial spread of foot-and-mouth disease through animal movements
Modelling the initial spread of foot-and-mouth disease through animal movements
D.M Green, I.Z Kiss, R.R Kao
Proceedings of the Royal Society B: Biological Sciences  ·  01 Aug 2006  ·  doi:10.1098/rspb.2006.3648
Demographic structure and pathogen dynamics on the network of livestock movements in Great Britain
Demographic structure and pathogen dynamics on the network of livestock movements in Great Britain
R.R Kao, L Danon, D.M Green, I.Z Kiss
Proceedings of the Royal Society B: Biological Sciences  ·  16 May 2006  ·  doi:10.1098/rspb.2006.3505
The network of sheep movements within Great Britain: network properties and their implications for infectious disease spread
The network of sheep movements within Great Britain: network properties and their implications for infectious disease spread
Istvan Z Kiss, Darren M Green, Rowland R Kao
Journal of The Royal Society Interface  ·  28 Apr 2006  ·  doi:10.1098/rsif.2006.0129
Parameterization of individual-based models: Comparisons with deterministic mean-field models
Parameterization of individual-based models: Comparisons with deterministic mean-field models
Darren M. Green, Istvan Z. Kiss, Rowland R. Kao
Journal of Theoretical Biology  ·  01 Apr 2006  ·  doi:10.1016/j.jtbi.2005.07.018

2005

Infectious disease control using contact tracing in random and scale-free networks
Infectious disease control using contact tracing in random and scale-free networks
Istvan Z Kiss, Darren M Green, Rowland R Kao
Journal of The Royal Society Interface  ·  26 Aug 2005  ·  doi:10.1098/rsif.2005.0079
Dispersion curves in the diffusional instability of autocatalytic reaction fronts
Dispersion curves in the diffusional instability of autocatalytic reaction fronts
J. H. Merkin, I. Z. Kiss
Physical Review E  ·  24 Aug 2005  ·  doi:10.1103/PhysRevE.72.026219
Disease contact tracing in random and clustered networks
Disease contact tracing in random and clustered networks
Istvan Z Kiss, Darren M Green, Rowland R Kao
Proceedings of the Royal Society B: Biological Sciences  ·  21 Jun 2005  ·  doi:10.1098/rspb.2005.3092
Effects of constant electric fields on the buoyant stability of reaction fronts
Effects of constant electric fields on the buoyant stability of reaction fronts
A. Zadražil, I. Z. Kiss, J. D’Hernoncourt, H. Ševčíková, J. H. Merkin, A. De Wit
Physical Review E  ·  08 Feb 2005  ·  doi:10.1103/PhysRevE.71.026224

2004

Electric field effects on travelling waves in the Oregonator model for the Belousov-Zhabotinsky reaction
Electric field effects on travelling waves in the Oregonator model for the Belousov-Zhabotinsky reaction
I. Kiss
The Quarterly Journal of Mechanics and Applied Mathematics  ·  01 Nov 2004  ·  doi:10.1093/qjmam/57.4.467
Homogenization induced by chaotic mixing and diffusion in an oscillatory chemical reaction
Homogenization induced by chaotic mixing and diffusion in an oscillatory chemical reaction
I. Z. Kiss, J. H. Merkin, Z. Neufeld
Physical Review E  ·  30 Aug 2004  ·  doi:10.1103/PhysRevE.70.026216
Noise-sustained oscillation and synchronization of excitable media with stirring
Noise-sustained oscillation and synchronization of excitable media with stirring
Changsong Zhou, Jurgen Kurths, Zoltan Neufeld, Istvan Z. Kiss
SPIE Proceedings  ·  25 May 2004  ·  doi:10.1117/12.546755

2003

Noise-Sustained Coherent Oscillation of Excitable Media in a Chaotic Flow
Noise-Sustained Coherent Oscillation of Excitable Media in a Chaotic Flow
Changsong Zhou, Jürgen Kurths, Zoltán Neufeld, István Z. Kiss
Physical Review Letters  ·  10 Oct 2003  ·  doi:10.1103/PhysRevLett.91.150601
Combustion initiation and extinction in a 2D chaotic flow
Combustion initiation and extinction in a 2D chaotic flow
I.Z. Kiss, J.H. Merkin, Z. Neufeld
Physica D: Nonlinear Phenomena  ·  01 Sep 2003  ·  doi:10.1016/S0167-2789(03)00172-6
Synchronization and Oscillator Death in Oscillatory Media with Stirring
Synchronization and Oscillator Death in Oscillatory Media with Stirring
Zoltán Neufeld, István Z. Kiss, Changsong Zhou, Jürgen Kurths
Physical Review Letters  ·  19 Aug 2003  ·  doi:10.1103/PhysRevLett.91.084101
The structure of flame filaments in chaotic flows
The structure of flame filaments in chaotic flows
I.Z. Kiss, J.H. Merkin, S.K. Scott, P.L. Simon, S. Kalliadasis, Z. Neufeld
Physica D: Nonlinear Phenomena  ·  01 Feb 2003  ·  doi:10.1016/S0167-2789(02)00741-8
Travelling waves in the Oregonator model for the BZ reaction
Travelling waves in the Oregonator model for the BZ reaction
I. Z. Kiss, J. H. Merkin, S. K. Scott, P. L. Simon
Physical Chemistry Chemical Physics  ·  01 Jan 2003  ·  doi:10.1039/b308315b