Influenza-Insights from Mathematical Modelling

Mikolajczyk R, Krumkamp R, Bornemann R, Ahmad A, Schwehm M, Duerr H (2009)
DEUTSCHES ARZTEBLATT INTERNATIONAL 106(47): 777-U19.

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Abstract
Background: When the first cases of a new infectious disease appear, questions arise about the further course of the epidemic and about the appropriate interventions to be taken to protect individuals and the public as a whole. Mathematical models can help answer these questions. In this article, the authors describe basic concepts in the mathematical modelling of infectious diseases, illustrate their use with a simple example, and present the results of influenza models. Method: Description of the mathematical modelling of infectious diseases and selective review of the literature. Results: The two fundamental concepts of mathematical modelling of infectious diseases-the basic reproduction number and the generation time-allow a better understanding of the course of an epidemic. Modelling studies based on past influenza epidemics suggest that the rise of the epidemic curve can be slowed at the beginning of the epidemic by isolating ill persons and giving prophylactic medications to their contacts. Later on in the course of the epidemic, restricting the number of contacts (e.g., by closing schools) may mitigate the epidemic but will only have a limited effect on the total number of persons who contract the disease. Conclusion: Mathematical modelling is a valuable tool for understanding the dynamics of an epidemic and for planning and evaluating interventions.
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Mikolajczyk R, Krumkamp R, Bornemann R, Ahmad A, Schwehm M, Duerr H. Influenza-Insights from Mathematical Modelling. DEUTSCHES ARZTEBLATT INTERNATIONAL. 2009;106(47):777-U19.
Mikolajczyk, R., Krumkamp, R., Bornemann, R., Ahmad, A., Schwehm, M., & Duerr, H. (2009). Influenza-Insights from Mathematical Modelling. DEUTSCHES ARZTEBLATT INTERNATIONAL, 106(47), 777-U19.
Mikolajczyk, R., Krumkamp, R., Bornemann, R., Ahmad, A., Schwehm, M., and Duerr, H. (2009). Influenza-Insights from Mathematical Modelling. DEUTSCHES ARZTEBLATT INTERNATIONAL 106, 777-U19.
Mikolajczyk, R., et al., 2009. Influenza-Insights from Mathematical Modelling. DEUTSCHES ARZTEBLATT INTERNATIONAL, 106(47), p 777-U19.
R. Mikolajczyk, et al., “Influenza-Insights from Mathematical Modelling”, DEUTSCHES ARZTEBLATT INTERNATIONAL, vol. 106, 2009, pp. 777-U19.
Mikolajczyk, R., Krumkamp, R., Bornemann, R., Ahmad, A., Schwehm, M., Duerr, H.: Influenza-Insights from Mathematical Modelling. DEUTSCHES ARZTEBLATT INTERNATIONAL. 106, 777-U19 (2009).
Mikolajczyk, R., Krumkamp, R., Bornemann, Reinhard, Ahmad, A., Schwehm, M., and Duerr, H. “Influenza-Insights from Mathematical Modelling”. DEUTSCHES ARZTEBLATT INTERNATIONAL 106.47 (2009): 777-U19.
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3 Citations in Europe PMC

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Effectiveness of travel restrictions in the rapid containment of human influenza: a systematic review.
Mateus AL, Otete HE, Beck CR, Dolan GP, Nguyen-Van-Tam JS., Bull. World Health Organ. 92(12), 2014
PMID: 25552771

30 References

Data provided by Europe PubMed Central.

Estimating the impact of school closure on influenza transmission from Sentinel data.
Cauchemez S, Valleron AJ, Boelle PY, Flahault A, Ferguson NM., Nature 452(7188), 2008
PMID: 18401408
Containing pandemic influenza with antiviral agents.
Longini IM Jr, Halloran ME, Nizam A, Yang Y., Am. J. Epidemiol. 159(7), 2004
PMID: 15033640
Potential impact of antiviral drug use during influenza pandemic.
Gani R, Hughes H, Fleming D, Griffin T, Medlock J, Leach S., Emerging Infect. Dis. 11(9), 2005
PMID: 16229762
Antiviral resistance and the control of pandemic influenza
Lipsitch M, Cohen T, Murray M, Levin BR., 2007

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