• 806 Citations
  • 15 h-Index
1988 …2016

Research output per year

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Research Output

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

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

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

Research output: Contribution to journalArticle

16 Citations (Scopus)

SIS Epidemic Propagation on Hypergraphs

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

Research output: Contribution to journalArticle

3 Citations (Scopus)

Super compact pairwise model for SIS epidemic on heterogeneous networks

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

Research output: Contribution to journalArticle

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: Contribution to journalArticle

13 Citations (Scopus)

Exact Equations for SIR Epidemics on Tree Graphs

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

Research output: Contribution to journalArticle

18 Citations (Scopus)

PDE approximation of large systems of differential equations

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

Research output: Contribution to journalArticle

2 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: Contribution to journalArticle

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: Contribution to journalArticle

16 Citations (Scopus)

The effect of graph structure on epidemic spread in a class of modified cycle graphs

Szabó-Solticzky, A. & Simon, P. L., 2014, In : Mathematical Modelling of Natural Phenomena. 9, 2, p. 89-107 19 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
2013
13 Citations (Scopus)

Gasless combustion fronts with heat loss

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

Research output: Contribution to journalArticle

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: Contribution to journalArticle

12 Citations (Scopus)

Monte Carlo simulation and analytic approximation of epidemic processes on large networks

Nagy, N. & Simon, P. L., Jan 1 2013, In : Central European Journal of Mathematics. 11, 4, p. 800-815 16 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Numerical and analytical study of bifurcations in a model of electrochemical reactions in fuel cells

Csörgö, G. & Simon, P. L., Feb 1 2013, In : Computers and Mathematics with Applications. 65, 3, p. 325-337 13 p.

Research output: Contribution to journalArticle

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: Contribution to journalArticle

8 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., May 1 2012, In : Journal of Mathematical Biology. 64, 6, p. 1021-1042 22 p.

Research output: Contribution to journalArticle

36 Citations (Scopus)

Modelling approaches for simple dynamic networks and applications to disease transmission models

Kiss, I. Z., Berthouze, L., Timothy, J. T. & Simon, P. L., May 8 2012, In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 468, 2141, p. 1332-1355 24 p.

Research output: Contribution to journalArticle

32 Citations (Scopus)

New Moment Closures Based on A Priori Distributions with Applications to Epidemic Dynamics

Kiss, I. Z. & Simon, P. L., Jul 1 2012, In : Bulletin of Mathematical Biology. 74, 7, p. 1501-1515 15 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Unusual surface mass changes in the course of the oxygen reduction reaction on platinum and their explanation by using a kinetic model

Kriston, A., Berkes, B. B., Simon, P. L., Inzelt, G., Dobos, K. & Nemes, A., Apr 1 2012, In : Journal of Solid State Electrochemistry. 16, 4, p. 1723-1732 10 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)
2011

Exact epidemic models on graphs using graph-automorphism driven lumping

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

Research output: Contribution to journalArticle

57 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

25 Citations (Scopus)
2010

Exact Multiplicity of Positive Solutions for a Class of Singular Semilinear Equations

Simon, P. L., Oct 1 2010, In : Differential Equations and Dynamical Systems. 18, 4, p. 415-429 15 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

The impact of information transmission on epidemic outbreaks

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

Research output: Contribution to journalArticle

106 Citations (Scopus)
2009

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

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

Research output: Contribution to journalArticle

10 Citations (Scopus)

Exact multiplicity of positive solutions for a class of singular semilinear equations

Simon, P. L., Apr 1 2009, In : Differential Equations and Dynamical Systems. 17, 1-2, p. 147-161 15 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Large scale scientific computations: Editorial introduction

Zlatev, Z., Faragó, I. & Simon, P. L., Apr 15 2009, In : Journal of Computational and Applied Mathematics. 226, 2, p. 187-189 3 p.

Research output: Contribution to journalEditorial

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

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

Research output: Contribution to journalArticle

9 Citations (Scopus)
2008

Bifurcation analysis of an oscillatory CNN model with two cells

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

Research output: Contribution to journalArticle

1 Citation (Scopus)

Has HIV evolved to induce immune pathogenesis?

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

Research output: Contribution to journalArticle

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: Chapter in Book/Report/Conference proceedingConference contribution

2006
1 Citation (Scopus)

Detailed study of limit cycles and global bifurcations in a circadian rhythm model

Simon, P. L. & Volford, A., Feb 2006, In : International Journal of Bifurcation and Chaos. 16, 2, p. 349-367 19 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Multiplicity for semilinear elliptic equations involving singular nonlinearity

Hernández, J., Karátson, J. & Simon, P. L., Jul 15 2006, In : Nonlinear Analysis, Theory, Methods and Applications. 65, 2, p. 265-283 19 p.

Research output: Contribution to journalArticle

18 Citations (Scopus)

Nonexistence of solutions to KPP-type equations of dimension greater than or equal to one

Engländer, J. & Simon, P. L., Jan 24 2006, In : Electronic Journal of Differential Equations. 2006, p. 1-6 6 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
2005
10 Citations (Scopus)

Electrolyte diodes with weak acids and bases. II. Numerical model calculations and experiments

Iván, K., Wittmann, M., Simon, Ṕ. L., Noszticzius, Z. & Šnita, D., Nov 7 2005, In : Journal of Chemical Physics. 123, 16, 164510.

Research output: Contribution to journalArticle

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: Contribution to journalArticle

3 Citations (Scopus)
2004

Electric field effects on travelling waves in the oregonator model for the Belousov-Zhabotinsky reaction

Kiss, I., Merkin, J. H., Scott, S. K. & Simon, P. L., Nov 1 2004, In : Quarterly Journal of Mechanics and Applied Mathematics. 57, 4, p. 467-494 28 p.

Research output: Contribution to journalArticle

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., Apr 1 2004, In : Journal of Mathematical Chemistry. 35, 4, p. 309-328 20 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Stability of flames in an exothermic-endothermic system

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

Research output: Contribution to journalArticle

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., May 1 2004, In : Journal of Engineering Mathematics. 49, 1, p. 41-55 15 p.

Research output: Contribution to journalArticle

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., Sep 1 2003, In : Combustion Theory and Modelling. 7, 3, p. 545-561 17 p.

Research output: Contribution to journalArticle

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., Oct 1 2003, In : IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 68, 5, p. 537-562 26 p.

Research output: Contribution to journalArticle

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., Sep 1 2003, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 68, 3 2, p. 362101-362109 9 p., 036210.

Research output: Contribution to journalArticle

6 Citations (Scopus)

On the structure of spectra of travelling waves

Simon, P. L., Oct 19 2003, In : Electronic Journal of Qualitative Theory of Differential Equations. p. 1-19 19 p.

Research output: Contribution to journalArticle

Open Access
2 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., Feb 15 2003, In : Physica D: Nonlinear Phenomena. 176, 1-2, p. 67-81 15 p.

Research output: Contribution to journalArticle

18 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: Contribution to journalArticle

7 Citations (Scopus)