Location of Repository

Assessing the effects of multiple infections and long latency in the dynamics of tuberculosis

By Raimundo Silvia M and Yang Hyun M


<p>Abstract</p> <p>In order to achieve a better understanding of multiple infections and long latency in the dynamics of <it>Mycobacterium tuberculosis </it>infection, we analyze a simple model. Since backward bifurcation is well documented in the literature with respect to the model we are considering, our aim is to illustrate this behavior in terms of the range of variations of the model's parameters. We show that backward bifurcation disappears (and forward bifurcation occurs) if: (a) the latent period is shortened below a critical value; and (b) the rates of super-infection and re-infection are decreased. This result shows that among immunosuppressed individuals, super-infection and/or changes in the latent period could act to facilitate the onset of tuberculosis. When we decrease the incubation period below the critical value, we obtain the curve of the incidence of tuberculosis following forward bifurcation; however, this curve envelops that obtained from the backward bifurcation diagram.</p

Topics: Biology (General), QH301-705.5, Science, Q, DOAJ:Biology, DOAJ:Biology and Life Sciences, Computer applications to medicine. Medical informatics, R858-859.7
Publisher: BioMed Central
Year: 2010
DOI identifier: 10.1186/1742-4682-7-41
OAI identifier: oai:doaj.org/article:332e54e16f98411ca2b5c3c4d3019c3b
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • https://doaj.org/toc/1742-4682 (external link)
  • http://www.tbiomed.com/content... (external link)
  • https://doaj.org/article/332e5... (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.