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Modeling and simulation of local epidemics

Published: 14 June 2007 Publication History

Abstract

A branching process model of a local epidemic is briefly discussed and some useful expressions are given for the fundamental characteristics of the epidemic outbreaks. Starting from the model, a program tool (written in SIMULA) is described for simulating small outbreaks of a contagious disease in a large susceptible population. The tool is able to visualize the spread of local epidemics in a realistic way. The results of simulation experiments showed a good agreement with the theoretical predictions.

References

[1]
Bailey, N. T. J. The Mathematical Theory of Infectious Diseases. New York: Hafner Press, 1975.
[2]
Frauenthal, J. C. Mathematical Modelling in Epidemiology. Berlin: Springer-Verlag, 1980.
[3]
Kindler, E., Skuhravý, V. Attempt to Simulation of Forest Calamities by Means of SIMULA. In: J. Štefan (Ed.) Proceedings of the International Conference on Modelling and Simulation of Systems. Vol. 1. Ostrava: MARQ, 1999, pp. 241--246.
[4]
Křivý, I. Branching Process Model in Epidemiology. Biocybernetics and Biomedical Engineering 1997, 17/1--2, pp. 169--179.
[5]
Křivý, I., Kindler, E. Some Experience with Converting the Epidemics Model into CIM Implementation. In: Proceedings of 28th ASU Conference. Brno: University of Technology, 2002, pp. 27--33.

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CompSysTech '07: Proceedings of the 2007 international conference on Computer systems and technologies
June 2007
761 pages
ISBN:9789549641509
DOI:10.1145/1330598
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 14 June 2007

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Author Tags

  1. SIMULA
  2. branching process model
  3. local epidemics
  4. shigellosis
  5. simulation

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Overall Acceptance Rate 241 of 492 submissions, 49%

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