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Mathematical Biosciences and Engineering

2007, Volume 4, Issue 3: 505-522. doi: 10.3934/mbe.2007.4.505
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The effect of nonreproductive groups on persistent sexually transmitted diseases

  • 1.
    Department of Mathematics, Purdue University, 150 North University Street, West Lafayette, IN 47907-2067
  • Received: 01 September 2006 Accepted: 29 June 2018 Published: 01 May 2007

  • MSC : 92D30.

  • We describe several population models exposed to a mild life-long sexually transmitted disease, i.e. without significant increased mortality among infected individuals and providing no immunity/recovery. We then modify these models to include groups isolated from sexual contact and analyze their potential effect on the dynamics of the population. We are interested in how the isolated class may curb the growth of the infected group while keeping the healthy population at acceptable levels.

    Citation: Daniel Maxin, Fabio Augusto Milner. The effect of nonreproductive groups on persistent sexually transmitted diseases[J]. Mathematical Biosciences and Engineering, 2007, 4(3): 505-522. doi: 10.3934/mbe.2007.4.505

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  • We describe several population models exposed to a mild life-long sexually transmitted disease, i.e. without significant increased mortality among infected individuals and providing no immunity/recovery. We then modify these models to include groups isolated from sexual contact and analyze their potential effect on the dynamics of the population. We are interested in how the isolated class may curb the growth of the infected group while keeping the healthy population at acceptable levels.


  • This article has been cited by:

    1. Daniel Maxin, The influence of sexually active non-reproductive groups on persistent sexually transmitted diseases, 2009, 3, 1751-3758, 532, 10.1080/17513750802660914
    2. Daniel Maxin, Timothy Olson, Adam Shull, Vertical transmission in epidemic models of sexually transmitted diseases with isolation from reproduction, 2011, 4, 1944-4184, 13, 10.2140/involve.2011.4.13
    3. Agnieszka Ulikowska, An age-structured two-sex model in the space of radon measures: Well posedness, 2012, 5, 1937-5077, 873, 10.3934/krm.2012.5.873
    4. Daniel Maxin, Fabio Augusto Milner, The role of sexually abstained groups in two-sex demographic and epidemic logistic models with non-linear mortality, 2009, 258, 00225193, 389, 10.1016/j.jtbi.2008.08.027
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  • © 2007 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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