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Istvan Kiss
Professor of Applied Mathematics (Mathematics)
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Selected publications

Article

Tee, Philip, Wakeman, Ian, Parisis, George, Dawes, Jonathan and Kiss, István Z (2017) Constraints and entropy in a model of network evolution. European Physical Journal B: Condensed Matter and Complex Systems, 90. p. 226. ISSN 1434-6028

Simon, Peter L and Kiss, Istvan Z (2017) On bounding exact models of epidemic spread on networks. Discrete and Continuous Dynamical Systems - Series B. ISSN 1531-3492 (Accepted)

Sherborne, Neil, Miller, Joel C, Blyuss, Konstantin B and Kiss, Istvan Z (2017) Mean-field models for non-Markovian epidemics on networks. Journal of Mathematical Biology. ISSN 0303-6812

Sherborne, N, Blyuss, K B and Kiss, I Z (2016) Compact pairwise models for epidemics with multiple infectious stages on degree heterogeneous and clustered networks. Journal of Theoretical Biology, 407. pp. 387-400. ISSN 0022-5193

Ritchie, Martin, Berthouze, Luc and Kiss, Istvan Z (2016) Generation and analysis of networks with a prescribed degree sequence and subgraph family: higher-order structure matters. Journal of Complex Networks, 5 (1). pp. 1-31. ISSN 2051-1310

Szabó-Solticzky, András, Berthouze, Luc, Kiss, Istvan Z and Simon, Péter L (2016) Oscillating epidemics in a dynamic network model: stochastic and mean-field analysis. Journal of Mathematical Biology, 72 (5). pp. 1153-1176. ISSN 0303-6812

Ritchie, Martin, Berthouze, Luc and Kiss, Istvan Z (2016) Beyond clustering: mean-field dynamics on networks with arbitrary subgraph composition. Journal of Mathematical Biology, 72 (1). pp. 255-281. ISSN 0303-6812

Simon, Péter L and Kiss, Istvan Z (2016) Super compact pairwise model for SIS epidemic on heterogeneous networks. Journal of Complex Networks, 4 (2). pp. 187-200. ISSN 2051-1310

Juher, David, Kiss, Istvan Z and Saldaña, Joan (2015) Analysis of an epidemic model with awareness decay on regular random networks. Journal of Theoretical Biology, 365. pp. 457-468. ISSN 0022-5193

Georgiou, Nicos, Kiss, Istvan Z and Scalas, Enrico (2015) Solvable non-Markovian dynamic network. Physical Review E, 92 (4). 042801. ISSN 1539-3755

Sherborne, N, Blyuss, K B and Kiss, I Z (2015) Dynamics of multi-stage infections on networks. Bulletin of Mathematical Biology. pp. 1-25. ISSN 0092-8240

Kiss, Istvan Z, Röst, Gergely and Zsolt, Vizi (2015) Generalization of pairwise models to non-Markovian epidemics on networks. Physical Review Letters (PRL), 115 (7). ISSN 0031-9007

Sharkey, K J, Kiss, I Z, Wilkinson, R R and Simon, P L (2015) Exact equations for SIR epidemics on tree graphs. Bulletin of Mathematical Biology, 77 (4). pp. 614-645. ISSN 0092-8240

Kiss, Istvan Z, Morris, Charles G, Sélley, Fanni, Simon, Péter L and Wilkinson, Robert R (2015) Exact deterministic representation of Markovian SIR epidemics on networks with and without loops. Journal of Mathematical Biology, 70 (3). pp. 437-464. ISSN 0303-6812

Sélley, Fanni, Besenyei, Ádám, Kiss, Istvan Z and Simon, Péter L (2015) Dynamic control of modern, network-based epidemic models. SIAM Journal on Applied Dynamical Systems, 14 (1). pp. 168-187. ISSN 1536-0040

Rattana, P, Berthouze, L and Kiss, I Z (2014) Impact of constrained rewiring on network structure and node dynamics. Physical Review E, 90 (5). ISSN 1539-3755

Taylor, Timothy J and Kiss, Istvan Z (2014) Interdependency and hierarchy of exact and approximate epidemic models on networks. Journal of Mathematical Biology, 69 (1). pp. 183-211. ISSN 0303-6812

Hartley, Caroline, Taylor, Timothy J, Kiss, Istvan Z, Farmer, Simon F and Berthouze, Luc (2014) Identification of criticality in neuronal avalanches: II. A theoretical and empirical investigation of the Driven case. Journal of Mathematical Neuroscience, 4 (9). pp. 1-42. ISSN 2190-8567

Nagy, N, Kiss, I Z and Simon, P L (2014) Approximate master equations for dynamical processes on graphs. Mathematical Modelling of Natural Phenomena, 9 (2). pp. 43-57. ISSN 0973-5348

Miller, J C and Kiss, I Z (2014) Epidemic spread in networks: existing methods and current challenges. Mathematical Modelling of Natural Phenomena, 9 (2). pp. 4-42. ISSN 0973-5348

Ritchie, Martin, Berthouze, Luc, House, Thomas and Kiss, Istvan Z (2014) Higher-order structure and epidemic dynamics in clustered networks. Journal of Theoretical Biology, 348. pp. 21-32. ISSN 0022-5193

Rattana, P, Miller, J C and Kiss, I Z (2014) Pairwise and edge-based models of epidemic dynamics on correlated weighted networks. Mathematical Modelling of Natural Phenomena, 9 (2). pp. 58-81. ISSN 0973-5348

Taylor, Timothy J, Hartley, Caroline, Simon, Péter L, Kiss, Istvan Z and Berthouze, Luc (2013) Identification of criticality in neuronal avalanches: I. A theoretical investigation of the non-driven case. Journal of Mathematical Neuroscience, 3 (5). pp. 1-26. ISSN 2190-8567

Rattana, Prapanporn, Blyuss, Konstantin B, Eames, Ken T D and Kiss, Istvan Z (2013) A class of pairwisemodels for epidemic dynamics on weighted networks. Bulletin of Mathematical Biology, 75 (3). pp. 466-490. ISSN 0092-8240

Kiss, Istvan Z and Simon, Péter L (2012) New moment closures based on a priori distributions with applications to epidemic dynamics. Bulletin of Mathematical Biology, 74 (7). pp. 1501-1515. ISSN 0092-8240

Kiss, Istvan Z, Berthouze, Luc, Taylor, Timothy and Simon, Péter L (2012) Modelling approaches for simple dynamic networks and applications to disease transmission models. Proceedings A: Mathematical, Physical and Engineering Sciences, 468 (2141). pp. 1332-1355. ISSN 1471-2946

Taylor, Michael, Simon, Peter L, Green, Darren M, House, Thomas and Kiss, Istvan (2012) From Markovian to pairwise epidemic models and the performance of moment closure approximations. Journal of Mathematical Biology, 64 (6). pp. 1021-1042. ISSN 1432-1416

Kiss, Istvan and Simon, Peter L (2012) From exact stochastic to mean-field ODE models: a new approach to prove convergence results. IMA Journal of Applied Mathematics. ISSN 0272-4960

Taylor, Michael, Taylor, Timothy J and Kiss, Istvan Z (2012) Epidemic threshold and control in a dynamic network. Physical Review E, 85 (1). 016103-1-016103-6. ISSN 1539-3755

Bátkai, András, Kiss, Istvan Z, Sikolya, Eszter and Simon, Péter L. (2012) Differential equation approximations of stochastic network processes: an operator semigroup approach. Networks and Heterogeneous Media, 7 (1). pp. 43-58. ISSN 1556-1801

Kiss, Istvan, Dent, JE, Kao, RR, Snow, L and Arnold, M (2011) The spread of highly pathogenic avian influenza virus via dynamic contacts between poultry premises in Great Britain. BMC Veterinary Research, 7 (59). ISSN 1746-6148

Kiss, Istvan Z, Simon, Péter L and Kao, Rowland R (2009) A contact-network-based formulation of a preferential mixing model. Bulletin of Mathematical Biology, 71 (4). pp. 888-905. ISSN 0092-8240

Yakob, Laith, Kiss, István Z and Bonsall, Michael B (2008) A network approach to modeling population aggregation and genetic control of pest insects. Theoretical Population Biology, 74 (4). pp. 324-331. ISSN 0040-5809

Kiss, Istvan Z and Green, Darren M (2008) Comment on ''Properties of highly clustered networks". Physical Review E, 78 (4). ISSN 1539-3755

Dent, Jennifer E, Kao, Rowland R, Kiss, Istvan Z, Hyder, Kieran and Arnold, Mark (2008) Contact structures in the poultry industry in Great Britain: Exploring transmission routes for a potential avian influenza virus epidemic. BMC Veterinary Research, 4 (27). pp. 1-14. ISSN 1746-6148

Kiss, Istvan Z, Green, Darren M and Kao, Rowland R (2008) The effect of network mixing patterns on epidemic dynamics and the efficacy of disease contact tracing. Journal of the Royal Society Interface, 5 (24). 791 - 799. ISSN 1742-5689

Green, Darren M, Kiss, István Z, Mitchell, Andrew P and Kao, Rowland R (2008) Estimates for local and movement-based transmission of bovine tuberculosis in British cattle. Proceedings B: Biological Sciences, 275 (1638). 1001 - 1005. ISSN 1471-2954

Green, Darren M, del Rio Vilas, Victor J, Birch, Colin P D, Johnson, Jethro, Kiss, Istvan Z, McCarthy, Noel D and Kao, Rowland R (2007) Demographic risk factors for classical and atypical scrapie in Great Britain. Journal of General Virology, 88 (12). 3486 - 3492. ISSN 0022-1317

Kao, Rowland R, Green, Darren M, Johnson, Jethro and Kiss, István Z (2007) Disease dynamics over very different timescales: foot-and-mouth disease and scrapie on the network of livestock movements in the UK. Journal of the Royal Society of London Interface, 4 (16). 907 - 916. ISSN 1742-5689

Green, Darren M, Kiss, Istvan Z and Kao, Rowland R (2006) Parasite strain coexistence in a heterogeneous host population. Oikos, 115 (3). 495 - 503. ISSN 0030-1299

Green, D M, Kiss, I Z and Kao, R R (2006) Modelling the initial spread of foot-and-mouth disease through animal movements. Proceedings B: Biological Sciences, 273 (1602). 2729 - 2735. ISSN 1471-2954

Kiss, István Z, Green, Darren M and Kao, Rowland R (2006) The network of sheep movements within Great Britain: network properties and their implication for infectious disease spread. Journal of the Royal Society Interface, 3 (10). pp. 669-677. ISSN 1742-5689

Kiss, István Z, Green, Darren M and Kao, Rowland R (2006) The effect of contact heterogeneity and multiple routes of transmission on final epidemic size. Mathematical Biosciences, 203 (1). pp. 124-136. ISSN 0025-5564

Kao, R R, Danon, L, Green, D M and Kiss, I Z (2006) Demographic structure and pathogen dynamics on the network of livestock movements in Great Britain. Proceedings B: Biological Sciences, 273 (1597). 1999 - 2007. ISSN 1471-2954

Green, Darren M, Kiss, István Z and Kao, Rowland R (2006) Parameterisation of individual-based models: Comparison with deterministic mean-field models. Journal of Theoretical Biology, 239 (3). 289 - 297. ISSN 0022-5193

Kiss, Istvan Z, Green, Darren M and Kao, Rowland R (2006) Infectious disease control using contact tracing in random and scale-free networks. Journal of the Royal Society Interface, 3 (6). pp. 55-62. ISSN 1742-5689

Merkin, J H and Kiss, I Z (2005) Dispersion curves in the diffusional instability of reaction fronts. Physical Review E, 72 (2). ISSN 1539-3755

Kiss, Istvan Z, Green, Darren M and Kao, Rowland R (2005) Disease contact tracing in random and clustered networks. Proceedings B: Biological Sciences, 272 (1570). pp. 1407-1414. ISSN 1471-2954

Zadražil, A, Kiss, I Z, D'Hernoncourt, J, Ševčíková, H, Merkin, J H and De Wit, A (2005) Effects of constant electric fields on the buoyant stability of reaction fronts. Physical Review E, 71 (2). ISSN 1539-3755

Kiss, I, Merkin, J H, Scott, S K and Simon, P L (2004) Electric field effects on travelling waves in the Oregonator model for the Belousov-Zhabotinsky reaction. Quarterly Journal of Mechanics and Applied Mathematics, 57 (4). pp. 467-494. ISSN 0033-5614

Kiss, I Z, Merkin, J H and Neufeld, Z (2004) Homogenization induced by chaotic mixing and diffusion in an oscillatory chemical reaction. Physical Review E, 70 (2). ISSN 1063-651X

Zhou, Changsong, Kurths, Jürgen, Neufeld, Zoltán and Kiss, István Z (2003) Noise-sustained coherent oscillation of excitable media in a chaotic flow. Physical Review Letters, 91 (15). ISSN 0031-9007

Kiss, I Z, Merkin, J H and Neufeld, Z (2003) Combustion initiation and extinction in a 2D chaotic flow. Physica D: Nonlinear Phenomena, 183 (3-4). pp. 175-189. ISSN 0167-2789

Kiss, I Z, Merkin, J H, Scott, S K, Simon, P L, Kalliadasis, S and Neufeld, Z (2003) The structure of flame filaments in chaotic flows. Physica D: Nonlinear Phenomena, 176 (1-2). pp. 67-81. ISSN 0167-2789

Neufeld, Zoltán, Kiss, István Z, Zhou, Changsong and Kurths, Jürgen (2003) Synchronization and oscillator death in oscillatory media with stirring. Physical Review Letters, 91 (8). ISSN 0031-9007

Kiss, I Z, Merkin, J H, Scott, S K and Simon, P L (2003) Travelling waves in the Oregonator model for the BZ reaction. Physical Chemistry Chemical Physics, 5 (24). 5448 - 5453. ISSN 1463-9076

Book

Kiss, István, Miller, Joel C and Simon, Péter L (2017) Mathematics of epidemics on networks: from exact to approximate models. Interdisciplinary applied Mathematics, 46 . Springer International Publishing. ISBN 9783319508047

Book Section

Kiss, Istvàn, Berthouze, Luc, Miller, Joel C and Simon, Péter L (2017) Mapping out emerging network structures in dynamic network models coupled with epidemics. In: Masuda, Naoki and Holme, Petter (eds.) Temporal network epidemiology. Theoretical Biology . Springer, pp. 267-289. ISBN 9789811052866

Barnard, Rosanna C, Kiss, Istvan Z, Farmer, Simon F and Berthouze, Luc (2017) Clustered arrangement of inhibitory neurons can lead to oscillatory dynamics in a model of activity-dependent structural plasticity. In: van Ooyen, Arjen and Butz-Ostendorf, Markus (eds.) The rewiring brain: a computational approach to structural plasticity in the adult brain. Oxford: Academic Press, pp. 123-154. ISBN 9780128037843

Conference Proceedings

Overbury, Peter, Kiss, Istvan Z and Berthouze, Luc (2016) A genetic algorithm-based approach to mapping the diversity of networks sharing a given degree distribution and global clustering. 5th International Workshop on Complex Networks and their Applications, Milan, 30th November - 2nd December 2016. Published in: Cherifi, Hocine, Gaito, Sabrina, Quattrociocchi, Walter and Sala, Alessandra, (eds.) Complex Networks & Their Applications V. 693 223-233. Springer ISBN 9783319509006