Department of Mathematics

photo of Istvan Kiss

Dr Istvan Kiss

Post:Senior Lecturer (Mathematics)
Location:Pevensey 3 5c6
Email:I.Z.Kiss@sussex.ac.uk
Personal homepage:~izkiss

Telephone numbers
Internal:3021
UK:(01273) 873021
International:+44 1273 873021
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Biography

  • Lecturer in Mathematics, University of Sussex, 2007-
  • Post-doctoral Research Assistant, University of Oxford, 2004-2007
  • Junior Research Fellow, Wolfson College, Oxford, 2005-2007
  • Ph.D. in Applied Mathematics, University of Leeds, 2004
  • Teacher of Mathematics, "Colegiul National Silvania" High School, 1998-2000
  • B.Sc. & M.Sc. in Mathematics, University of Babes-Bolyai, Cluj-Napoca, 1998 & 1999

Personal webpage

Role

Research Committee

Careers Tutor

The main focus of my research is on mathematical modelling of infectious disease transmission (mathematical epidemiology). This involves the formulation, analysis and numerical solutions of differential equations and the design and programming of complex individual-based stochastic network simulations along with handling large datasets. In addition, I also use graph theory for the detailed analysis of contact networks. A few areas of interest are:

  • Understanding the implications of population contact network properties for the invasion, spread and control of infectious diseases
  • Pathogen dynamics on the network of livestock movements in Great Britain with applications to foot-and-mouth disease and avian influenza
  • Application of network/graph theory to infectious disease transmission models  
  • The role of resource constraints and optimal allocation of limited control resources in various scenarios of disease control
  • Interplay between dynamic processes on networks and dynamics of networks  including information spread and parasite evolution
  • For further details and publications please visit my personal webpage.

     

    Methods of Applied Mathematics (840G1 Autumn)

    Statistical and Numerical Methods for Bioinformatics (847G1 Spring)

    Random Processes (G1101 Spring)

    Mathematical Skills for Eng and Design (G5109 Spring/Summer)

    Career Development (G5102 Spring/Summer), Course Convenor 

    For lecture notes, exercise sheets and solutions check my personal webpage regularly!

    Student Consultation

    Office hours (Spring): Thursday (9:00-10:00)

    Office hours (Sprimg): Thursday (14:00-15:00)

     

    Taylor, Timothy J and Kiss, Istvan Z (2013) Interdependency and hierarchy of exact and approximate epidemic models on networks. Journal of Mathematical Biology. ISSN 0303-6812 (In Press)

    Taylor, Timothy J, Hartley, Caroline, Simon, Peter 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 (4). p. 5. ISSN 2190-8567

    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 (Submitted)

    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