The graph and network theory as a tool to model and simulate the dynamics of infectious diseases

• Autorzy: Bartosiak, C. , Kasprzyk, R. , Najgebauer, A.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we consider the utilization of the graph and network theory in the field of modeling and simulating the dynamics of infectious diseases. We describe basic principles and tools and show how we can use them to fight against the spread of this phenomenon. We also present our software solutions that can be used to support decision-making activities.

Słowa kluczowe

EN

infectious diseases; simulation; social networks

• Czasopismo: Bio-Algorithms and Med-Systems
• Rocznik: 2013
• Tom: Vol. 9, no. 1
• Strony: 17--28
• Opis fizyczny: Bibliogr. 13 poz., rys., zdj.

Twórcy

autor

Bartosiak, C.

• Military University of Technology, Faculty of Cybernetics, Gen. Sylwestra Kaliskiego Str. 2, 00-908 Warsaw, Poland

autor

Kasprzyk, R.

• Military University of Technology, Faculty of Cybernetics, Gen. Sylwestra Kaliskiego Str. 2, 00-908 Warsaw, Poland,

autor

Najgebauer, A.

• Military University of Technology, Faculty of Cybernetics, Gen. Sylwestra Kaliskiego Str. 2, 00-908 Warsaw, Poland

Bibliografia

• 1. Watts DJ, Strogatz S. Collective dynamics of ‘small-world’ networks. Nature 1998;393:440 – 2.
• 2. Barabasi A-L, Albert R. Emergence of scaling in random networks. Science 1999;286:509 – 12.
• 3. Albert R, Barabasi A-L. Topology of evolving networks: local events and universality. Phys Rev Lett 2000;85:5234 – 7.
• 4. Alber R, Barabasi A-L. Statistical mechanics of complex networks. Rev Mod Phys 2002;74:47 – 97.
• 5. Crucitti P, Latora V, Marchiori M, Rapisarda A. Error and attack tolerance of complex networks. Physica A 2004;340:388 – 94.
• 6. Kasprzyk R. The vaccination against epidemic spreading in complex networks. Biuletyn ISI 2009;3:39 – 43.
• 7. Cohen R, Havlin S, Avraham D. Efficient immunization strategies for computer networks and population. Phys Rev Lett 2003;91:247901 – 5.
• 8. Madar N, Kalisky T, Cohen R, Ben-Avraham D, Havlin S. Immunization and epidemic dynamics in complex networks. Eur Phys J B 2004;38:269 – 76.
• 9. Kasprzyk R. Diffusion in networks. J Telecommun Inform Technol 2012;2:99 – 106.
• 10. Bastian M, Heymann S, Jacomy M. Gephi: an open source software for exploring and manipulating networks. International AAAI Conference on Weblogs and Social Media, 2009.
• 11. Gephi, an open source graph visualization and manipulation software. [Online] Available at: http://gephi.org/.
• 12. Kasprzyk R, Lipiński B, Wilkos K, Wilkos M, Bartosiak C. CARE – Creative application to remedy epidemics. Biuletyn ISI 2009;3:45– 52.
• 13. Najgebauer A, Pierzcha ł a D, Kasprzyk R. A distributed multilevel system for monitoring and simulation of epidemics. In: Brebbia CA, editor. Risk analysis VII & Brownfields V. Southampton, Boston: WIT Press, 2010:583 – 96.