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. 2013 Feb;66(3):535-46.
doi: 10.1007/s00285-012-0520-2. Epub 2012 Mar 1.

Role of environmental persistence in pathogen transmission: a mathematical modeling approach

Romulus Breban  1
Affiliations

Role of environmental persistence in pathogen transmission: a mathematical modeling approach

Romulus Breban. J Math Biol. 2013 Feb.

Abstract

Although diseases such as influenza, tuberculosis and SARS are transmitted through an environmentally mediated mechanism, most modeling work on these topics is based on the concepts of infectious contact and direct transmission. In this paper we use a paradigm model to show that environmental transmission appears like direct transmission in the case where the pathogen persists little time in the environment. Furthermore, we formulate conditions for the validity of this modeling approximation and we illustrate them numerically for the cases of cholera and influenza. According to our results based on recently published parameter estimates, the direct transmission approximation fails for both cholera and influenza. While environmental transmission is typically chosen over direct transmission in modeling cholera, this is not the case for influenza.

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References

    1. Anderson RM, Donnelly CA, Ferguson NM, Woolhouse ME, Watt CJ, Udy HJ, MaWhinney S, Dunstan SP, Southwood TR, Wilesmith JW, Ryan JB, Hoinville LJ, Hillerton JE, Austin AR, Wells GA. Transmission dynamics and epidemiology of BSE in British cattle. Nature. 1996;382(6594):779–788. doi: 10.1038/382779a0. - DOI - PubMed
    1. Ballesteros S, Vergu E, Cazelles B. Influenza A gradual and epochal evolution: insights from simple models. PLoS One. 2009;4(10):e7426. doi: 10.1371/journal.pone.0007426. - DOI - PMC - PubMed
    1. Berglund N, Gentz B. Noise-induced phenomena in slow–fast dynamical systems: a sample-paths approach. Berlin: Springer; 2006.
    1. Blanchong JA, Samuel MD, Goldberg DR, Shadduck DJ, Lehr MA. Persistence of pasteurella multocida in wetlands following avian cholera outbreaks. J Wildl Dis. 2006;42(1):33–39. - PubMed
    1. Breban R, Drake J, Rohani P. A general multi-strain model with environmental transmission: invasion conditions for the disease-free and endemic states. J Theor Biol. 2010;264(3):729–736. doi: 10.1016/j.jtbi.2010.03.005. - DOI - PubMed