• 818 Citations
  • 15 h-Index
1988 …2016

Research output per year

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Research Output

  • 818 Citations
  • 15 h-Index
  • 72 Article
  • 1 Conference contribution
  • 1 Conference article
  • 1 Editorial
2016
2 Citations (Scopus)

Oscillating epidemics in a dynamic network model: stochastic and mean-field analysis

Szabó-Solticzky, A., Berthouze, L., Kiss, I. Z. & Simon, P. L., ápr. 1 2016, In : Journal of Mathematical Biology. 72, 5, p. 1153-1176 24 p.

Research output: Article

16 Citations (Scopus)

SIS Epidemic Propagation on Hypergraphs

Bodó, Á., Katona, G. Y. & Simon, P. L., ápr. 1 2016, In : Bulletin of Mathematical Biology. 78, 4, p. 713-735 23 p.

Research output: Article

4 Citations (Scopus)

Super compact pairwise model for SIS epidemic on heterogeneous networks

Simon, P. L. & Kiss, I. Z., jan. 1 2016, In : Journal of Complex Networks. 4, 2, p. 187-200 14 p.

Research output: Article

4 Citations (Scopus)
2015

Dynamic control of modern, network-based epidemic models

Sélley, F., Besenyei, Á., Kiss, I. Z. & Simon, P. L., jan. 1 2015, In : SIAM Journal on Applied Dynamical Systems. 14, 1, p. 168-187 20 p.

Research output: Article

13 Citations (Scopus)

Exact Equations for SIR Epidemics on Tree Graphs

Sharkey, K. J., Kiss, I. Z., Wilkinson, R. R. & Simon, P. L., ápr. 1 2015, In : Bulletin of Mathematical Biology. 77, 4, p. 614-645 32 p.

Research output: Article

18 Citations (Scopus)

PDE approximation of large systems of differential equations

Bátkai, A., Havasi, Á., Horváth, R., Kunszenti-Kovács, D. & Simon, P. L., márc. 1 2015, In : Operators and Matrices. 9, 1, p. 147-163 17 p.

Research output: Article

3 Citations (Scopus)
2014

Approximate master equations for dynamical processes on graphs

Nagy, N., Kiss, I. Z. & Simon, P. L., 2014, In : Mathematical Modelling of Natural Phenomena. 9, 2, p. 43-57 15 p.

Research output: Article

4 Citations (Scopus)

Exact deterministic representation of Markovian SIR epidemics on networks with and without loops

Kiss, I. Z., Morris, C. G., Sélley, F., Simon, P. L. & Wilkinson, R. R., jan. 1 2014, In : Journal of Mathematical Biology. 70, 3, p. 437-464 28 p.

Research output: Article

16 Citations (Scopus)
2 Citations (Scopus)
2013
14 Citations (Scopus)

Gasless combustion fronts with heat loss

Ghazaryan, A., Schecter, S. & Simon, P. L., szept. 19 2013, In : SIAM Journal on Applied Mathematics. 73, 3, p. 1303-1326 24 p.

Research output: Article

4 Citations (Scopus)

Identification of criticality in neuronal avalanches: I. A theoretical investigation of the non-driven case

Taylor, T. J., Hartley, C., Simon, P. L., Kiss, I. Z. & Berthouze, L., jan. 1 2013, In : Journal of Mathematical Neuroscience. 3, 1, p. 1-26 26 p., 5.

Research output: Article

12 Citations (Scopus)
5 Citations (Scopus)
2012

Differential equation approximations of stochastic network processes: An operator semigroup approach

Bátkai, A., Kiss, I. Z., Sikolya, E. & Simon, P. L., dec. 18 2012, In : Networks and Heterogeneous Media. 7, 1, p. 43-58 16 p.

Research output: Article

9 Citations (Scopus)

From Markovian to pairwise epidemic models and the performance of moment closure approximations

Taylor, M., Simon, P. L., Green, D. M., House, T. & Kiss, I. Z., máj. 1 2012, In : Journal of Mathematical Biology. 64, 6, p. 1021-1042 22 p.

Research output: Article

36 Citations (Scopus)
32 Citations (Scopus)
9 Citations (Scopus)
4 Citations (Scopus)
2011

Exact epidemic models on graphs using graph-automorphism driven lumping

Simon, P. L., Taylor, M. & Kiss, I. Z., ápr. 1 2011, In : Journal of Mathematical Biology. 62, 4, p. 479-508 30 p.

Research output: Article

57 Citations (Scopus)

Multiple sources and routes of information transmission: Implications for epidemic dynamics

Hatzopoulos, V., Taylor, M., Simon, P. L. & Kiss, I. Z., jún. 1 2011, In : Mathematical Biosciences. 231, 2, p. 197-209 13 p.

Research output: Article

25 Citations (Scopus)
2010
1 Citation (Scopus)

The impact of information transmission on epidemic outbreaks

Kiss, I. Z., Cassell, J., Recker, M. & Simon, P. L., máj. 1 2010, In : Mathematical Biosciences. 225, 1, p. 1-10 10 p.

Research output: Article

107 Citations (Scopus)
2009

A contact-network-based formulation of a preferential mixing model

Kiss, I. Z., Simon, P. L. & Kao, R. R., máj. 1 2009, In : Bulletin of Mathematical Biology. 71, 4, p. 888-905 18 p.

Research output: Article

10 Citations (Scopus)
5 Citations (Scopus)

On the exact number of solutions of a singular boundary-value problem

Horváth, T. L. & Simon, P. L., júl. 1 2009, In : Differential and Integral Equations. 22, 7-8, p. 787-796 10 p.

Research output: Article

9 Citations (Scopus)
2008

Bifurcation analysis of an oscillatory CNN model with two cells

Garay, B. M. & Simon, P. L., máj. 1 2008, In : Journal of Applied Mathematics and Computing. 27, 1-2, p. 199-210 12 p.

Research output: Article

1 Citation (Scopus)

Has HIV evolved to induce immune pathogenesis?

Bartha, I., Simon, P. & Müller, V., júl. 1 2008, In : Trends in Immunology. 29, 7, p. 322-328 7 p.

Research output: Article

14 Citations (Scopus)

Large matrices arising in traveling wave bifurcations

Simon, P. L., dec. 1 2008, Large-Scale Scientific Computing - 6th International Conference, LSSC 2007, Revised Papers. p. 217-224 8 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 4818 LNCS).

Research output: Conference contribution

2006
1 Citation (Scopus)
3 Citations (Scopus)
19 Citations (Scopus)
2 Citations (Scopus)
2005
10 Citations (Scopus)
7 Citations (Scopus)

The effect of a radical scavenger on the propagation of flames in an exothermic-endothermic system

Simon, P. L., Scott, S. K., Kalliadasis, S. & Merkin, J. H., aug. 1 2005, In : Journal of Mathematical Chemistry. 38, 2, p. 203-231 29 p.

Research output: Article

3 Citations (Scopus)
2004
7 Citations (Scopus)
13 Citations (Scopus)

On the structure of the spectra for a class of combustion waves

Simon, P. L., Scott, S. K., Kalliadasis, S. & Merkin, J. H., ápr. 1 2004, In : Journal of Mathematical Chemistry. 35, 4, p. 309-328 20 p.

Research output: Article

3 Citations (Scopus)

Stability of flames in an exothermic-endothermic system

Simon, P. L., Kalliadasis, S., Merkin, J. H. & Scott, S. K., ápr. 2004, In : IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 69, 2, p. 175-203 29 p.

Research output: Article

15 Citations (Scopus)

The propagation and inhibition of an exothermic branched-chain flame with an endothermic reaction and radical scavenging

Lazarovici, A., Kalliadasis, S., Merkin, J. H., Scott, S. K. & Simon, P. L., máj. 1 2004, In : Journal of Engineering Mathematics. 49, 1, p. 41-55 15 p.

Research output: Article

3 Citations (Scopus)
2003

Evans function analysis of the stability of non-adiabatic flames

Simon, P. L., Kalliadasis, S., Merkin, J. H. & Scott, S. K., szept. 1 2003, In : Combustion Theory and Modelling. 7, 3, p. 545-561 17 p.

Research output: Article

11 Citations (Scopus)
10 Citations (Scopus)

Inhibition of flame propagation by an endothermic reaction

Simon, P. L., Kalliadasis, S., Merkin, J. H. & Scott, S. K., okt. 1 2003, In : IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 68, 5, p. 537-562 26 p.

Research output: Article

17 Citations (Scopus)

Isothermal flame balls: Effect of autocatalyst decay

Jakab, É., Horváth, D., Merkin, J. H., Scott, S. K., Simon, P. L. & Tóth, Á., szept. 1 2003, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 68, 3 2, p. 362101-362109 9 p., 036210.

Research output: Article

6 Citations (Scopus)
Open Access
3 Citations (Scopus)

The structure of flame filaments in chaotic flows

Kiss, I. Z., Merkin, J. H., Scott, S. K., Simon, P. L., Kalliadasis, S. & Neufeld, Z., febr. 15 2003, In : Physica D: Nonlinear Phenomena. 176, 1-2, p. 67-81 15 p.

Research output: Article

19 Citations (Scopus)

Travelling waves in the Oregonator model for the BZ reaction

Kiss, I. Z., Merkin, J. H., Scott, S. K. & Simon, P. L., dec. 15 2003, In : Physical Chemistry Chemical Physics. 5, 24, p. 5448-5453 6 p.

Research output: Article

7 Citations (Scopus)