• 835 Citations
  • 15 h-Index
1988 …2016

Research output per year

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Research Output

  • 835 Citations
  • 15 h-Index
  • 72 Article
  • 1 Conference contribution
  • 1 Conference article
  • 1 Editorial
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Article
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., Apr 1 2016, In : Journal of Mathematical Biology. 72, 5, p. 1153-1176 24 p.

Research output: Contribution to journalArticle

17 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

5 Citations (Scopus)

Super compact pairwise model for SIS epidemic on heterogeneous networks

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

Research output: Contribution to journalArticle

5 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

14 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

20 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

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: 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

17 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
14 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

5 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

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

Research output: Contribution to journalArticle

37 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

9 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

59 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

27 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

109 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)

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)
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

19 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
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., Feb 15 2003, In : Physica D: Nonlinear Phenomena. 176, 1-2, p. 67-81 15 p.

Research output: Contribution to journalArticle

20 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)
2002
12 Citations (Scopus)

Direct evidence for fixed ionic groups in the hydrogel of an electrolyte diode

Iván, K., Kirschner, N., Wittmann, M., Simon, P. L., Simon, P. L., Jakab, V., Noszticzius, Z., Merkin, J. H. & Scott, S. K., Jan 1 2002, In : Physical Chemistry Chemical Physics. 4, 8, p. 1339-1347 9 p.

Research output: Contribution to journalArticle

19 Citations (Scopus)