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Social Systems and Their Simulations

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Code Completion Credits Range Language
01SSI KZ 4 2+1 Czech
Garant předmětu:
Milan Krbálek
Marek Bukáček, Milan Krbálek
Marek Bukáček, Milan Krbálek
Department of Mathematics

The course is devoted to the issue of social systems modeling. That includes stochastic methods and methods of statistical physics for description and analytical solution of social interaction systems, implementation of particular models and comparison of the computer simulations results with the empirical data.


Basic course in Probability and mathematical statistics, statiscal physics, analysis of chaotic systems and programing in MATLAB (in the extent of the courses 01PRST, 01SM, 02TSFA, 01CHAOS, 18MTL held at the FNSPE CTU in Prague).

Syllabus of lectures:

1. Interdisciplinary aspects of quantitative sociodynamics, basic terminology,

2. Model classification, basic tools for simulation,

3. Cellular automata and interacting particle systems,

4. TASEP, Nagel-Schreckenberg model, Floor-field model,

5. Multi-lane komunications and cellular traffic models,

6. ODE based models,

7. Car-following models,

8. Social-force model of room evacuation,

9. Parametre calibration and validation,

10. Fundamental diagrams

11. Experimental studies,

12. Stationary state characteristics of models.

Syllabus of tutorials:

1. Computer simulation of particular models of social system,

2. The steady-state solution of chosen models,

3. Gaining and processing empirical data.

Study Objective:


Matematický popis systému se sociální interakcí,

Přehled modelů užívaných pro simulaci sociálních systémů,

Použití stochastických metod a metod statistické fyziky pro jejich popis.


Implementace modelů na výpočetní technice,

Zpracování a porovnání výsledků simulací s empirickými daty.

Study materials:

Key references:

[1] D. Helbing, Quantitative Sociodynamics: Stochastic Methods and Models of Social Interaction Processes, Kluwer Academic, Dordrecht, 1995.

[2] A. Schadschneider, D. Chowdhury, K. Nishinari: Stochastic transport in conplex systems, Elsevier BV., Oxford, 2011.

[3] W. Weidlich, Sociodynamics - a systematic approach to mathematical modelling in the social sciences, CRC Press, 2000..

Time-table for winter semester 2023/2024:
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Time-table for summer semester 2023/2024:
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The course is a part of the following study plans:
Data valid to 2024-05-24
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