Skip to main content

Epidemics and Their Implications in Urban Environments: A Case Study on a National Scope

  • Conference paper
  • First Online:
Simulation and Modeling Methodologies, Technologies and Applications

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 319))

  • 902 Accesses

Abstract

In times where urbanization becomes more important every day, epidemic outbreaks may be devastating. Powerful forecasting and analysis tools are of high importance for both, small and large scale examinations. Such tools provide valuable insight on different levels and help to establish and improve embankment mechanisms. Here, we present an agent-based algorithmic framework to simulate the spread of epidemic diseases on a national scope. Based on the population structure of Germany, we investigate parameters such as the impact of the number of agents, representing the population, on the quality of the simulation and evaluate them using real world data provided by the Robert Koch Institute [4, 22]. Furthermore, we empirically analyze the effects of certain non-pharmaceutical countermeasures as applied in the USA against the Influenza Pandemic in 1918–1919 [18]. Our simulation and evaluation tool partially relies on the probabilistic movement model presented in [8]. Our empirical tests show that the amount of agents in use may be crucial. Depending on the existing knowledge about the considered epidemic, this parameter alone may have a huge impact on the accuracy of the achieved simulation results. However, with the right choice of parameters—some of them being obtained from real world observations [10]—one can efficiently approximate the course of a disease in real world.

Partially supported by the Austrian Science Fund (FWF) under contract P25214 and by DFG project SCHE 1592/2-1. A preliminary version of this paper was published in the Proceeding of SIMULTECH 2013 [9].

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    In [10] the degree represents the number of individuals visiting these places over a time period of 24 h.

  2. 2.

    The amount of overall agents in use (\( n \)) determines how many cities are represented by \( V \). Therefore we sort the list of all cities of Germany in descending order of their population size. Then, starting from the top, we include the currently considered city \( c_{i} \) to \( V \) if and only if the assigned amount of agents to said city is at least \( 1 \). The latter amount is given by \( n\, \cdot \,d_{{c_{i} }} \).

  3. 3.

    The Robert Koch Institute (RKI) is the central federal institution in Germany responsible for disease control and prevention and is therefore the central federal reference institution for both, applied and response-orientated research. (Source http://www.rki.de/EN/Home/homepage_node.html).

References

  1. Adamic LA, Huberman BA (2000) Power-law distribution of the world wide web. Science 287(5461):2115

    Article  Google Scholar 

  2. Ajelli M, Goncalves B, Balcan D, Colizza V, Hu H, Ramasco J, Merler S, Vespignani A (2010). Comparing large-scale computational approaches to epidemic modeling: agent-based versus structured metapopulation models. BMC Infect Dis 10:190

    Google Scholar 

  3. Amaral LA, Scala A, Barthelemy M, Stanley HE (2000) Classes of small-world networks. PNAS 97(21):11149–11152

    Article  Google Scholar 

  4. Arbeitsgemeinschaft Influenza (2011). Bericht zur Epidemiologie der Influenza in Deutschland Saison 2010/2011

    Google Scholar 

  5. Balcan D, Hu H, Goncalves B, Bajardi P, Poletto C, Ramasco JJ, Paolotti D, Perra N, Tizzoni M, den Broeck WV, Colizza V, Vespignani A (2009) Seasonal transmission potential and activity peaks of the new influenza A(H1N1): a Monte Carlo likelihood analysis based on human mobility. BMC Med 7:45

    Article  Google Scholar 

  6. Borgs C, Chayes J, Ganesh A, Saberi A (2010) How to distribute antidote to control epidemics. Random Struct Algorithms 37:204–222

    MathSciNet  MATH  Google Scholar 

  7. Chowell G, Hyman JM, Eubank S, Castillo-Chavez C (2003) Scaling laws for the movement of people between locations in a large city. Phys Rev E 68(6):661021–661027

    Article  Google Scholar 

  8. Elsässer R, Ogierman A (2012) The impact of the power law exponent on the behavior of a dynamic epidemic type process. In: SPAA’12, pp 131–139

    Google Scholar 

  9. Elsässer R, Ogierman A, Meier M (2013) Agent based simulations of epidemics on a large scale. In: SIMULTECH’13, pp 263–274

    Google Scholar 

  10. Eubank S, Guclu H, Kumar V, Marathe M, Srinivasan A, Toroczkai Z, Wang N (2004) Modelling disease outbreaks in realistic urban social networks. Nature 429(6988):180–184

    Article  Google Scholar 

  11. Faloutsos M, Faloutsos P, Faloutsos C (1999) On power-law relationships of the internet topology. In: SIGCOMM’99, pp 251–262

    Google Scholar 

  12. Germann TC, Kadau K, Longini IM, Macken CA (2006) Mitigation strategies for pandemic influenza in the United States. PNAS, 103(15):5935–5940

    Google Scholar 

  13. Grassberger P (1983) On the critical behavior of the general epidemic process and dynamical percolation. Math Biosci 63(2):157–172

    Article  MATH  Google Scholar 

  14. Hethcote HW (2000) The mathematics of infectious diseases. SIAM Rev 42(4):599–653

    Article  MathSciNet  MATH  Google Scholar 

  15. Jaffry SW, Treur J (2008) Agent-based and population-based simulation: a comparative case study for epidemics. In: Louca LS, Chrysanthou Y, Oplatkova Z, Al-Begain K (eds) ECMS’08, pp 123–130

    Google Scholar 

  16. Lee BY, Bedford VL, Roberts MS, Carley KM (2008) Virtual epidemic in a virtual city: simulating the spread of influenza in a us metropolitan area. Transl Res 151(6):275–287

    Article  Google Scholar 

  17. Lee BY, Brown ST, Cooley PC, Zimmerman RK, Wheaton WD, Zimmer SM, Grefenstette JJ, Assi T-M, Furphy TJ, Wagener DK, Burke DS (2010) A computer simulation of employee vaccination to mitigate an influenza epidemic. Am J Prev Med 38(3):247–257

    Article  Google Scholar 

  18. Markel H, Lipman HB, Navarro JA, Sloan A, Michalsen JR, Stern AM, Cetron MS (2007) Nonpharmaceutical interventions implemented by US cities during the 1918–1919 Influenza Pandemic. JAMA 298(6):644–654

    Article  Google Scholar 

  19. Newman MEJ (2002) Spread of epidemic disease on networks. Phys Rev E 66(1):016128

    Article  MathSciNet  Google Scholar 

  20. Newman MEJ (2003) The structure and function of complex networks. SIAM Rev 45(2):167–256

    Article  MathSciNet  MATH  Google Scholar 

  21. Ripeanu M, Foster I, Iamnitchi A (2002) Mapping the Gnutella network: properties of large-scale peer-to-peer systems and implications for system. IEEE Internet Comput J 6(1):50–57

    Article  Google Scholar 

  22. Robert Koch Institute (2012). SurvStat@RKI. A web-based solution to query surveillance data in Germany

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Adrian Ogierman .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Elsässer, R., Ogierman, A., Meier, M. (2015). Epidemics and Their Implications in Urban Environments: A Case Study on a National Scope. In: Obaidat, M., Koziel, S., Kacprzyk, J., Leifsson, L., Ören, T. (eds) Simulation and Modeling Methodologies, Technologies and Applications. Advances in Intelligent Systems and Computing, vol 319. Springer, Cham. https://doi.org/10.1007/978-3-319-11457-6_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-11457-6_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11456-9

  • Online ISBN: 978-3-319-11457-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics