Péter Simon
Péter Simon
Professor
Doctor of Science (DSc)
Faculty of Science
lecturer
The Institute of Mathematics
lecturer
The Institute of Mathematics
lecturer
Department of Applied Analysis
lecturer
Contact details
Address
1117 Budapest, Pázmány Péter sétány 1/c.
Room
3.701
Phone/Extension
8417
Links
ORCID
0000-0002-2183-1853
WoS
C-5099-2011
Scopus
7402477033
Google Scholar
LUsxW1wAAAAJ
Publications
mtmt.hu
Szakmai honlap
http://simonp.web.elte.hu/
  • 1. Natural sciences
    • 1.1 Mathematics
      • Applied mathematics
Differential equations

Traveling wave solutions of reaction-diffusion equations and their stability

Bifurcations in biological and chemical dynamic models

Mathematical modeling of epidemic spread

Mathematical analysis of neural networks (Hopfield model) 

Keywords
bifurcations
Network science

Differential equations on networks, mean-field approximations

Epidemic models on networks, the effect of the network's structure on the dynamics of the process

Description of neural networks with differential equations

Dynamics and bifurcations of adaptive (time-varying) networks

Control of network processes

Network processes on hypergraphs 

Keywords
epidemic spread on networks
  • 2012 – Kiss, I Z; Berthouze, L; Simon, P L; Taylor, T J – Modelling approaches for simple dynamic networks and applications to disease transmission models – mtmt.hu
  • 2015 – Sélley, F; Besenyei, Á; Kiss, IZ; Simon, PL – Dynamic control of modern, network-based epidemic models – mtmt.hu
  • 2022 – Ward, Jonathan A.; Tapper, Alice; Simon, Péter L.; Mann, Richard P. – Micro-scale foundation with error quantification for the approximation of dynamics on networks – mtmt.hu
  • 2017 – Kiss, I.Z.; Miller, J.C.; Simon, P.L. – Mathematics of epidemics on networks: From exact to approximate models – mtmt.hu
  • 2023 – Kiss, István Z; Iacopini, Iacopo; Simon, Péter L; Georgiou, Nicos – Insights from exact social contagion dynamics on networks with higher-order structures – mtmt.hu