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Mathematical Biosciences and Engineering

2005, Volume 2, Issue 3: 579-590. doi: 10.3934/mbe.2005.2.579
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How Do Nonreproductive Groups Affect Population Growth?

  • 1.
    Department of Mathematics, Purdue University, 150 North University Street, West Lafayette, IN 47907-2067
  • Received: 01 January 2005 Accepted: 29 June 2018 Published: 01 August 2005

  • MSC : 92D25.

  • I describe several models of population dynamics, both unstructured and gender structured, that include groups of individuals who do not reproduce. I analyze the effect that the nonreproductive group may have on the dynamics of the whole population in terms of the vital rates and the proportion of nonreproductive individuals, and we provide specific examples for real populations.

    Citation: Fabio Augusto Milner. How Do Nonreproductive Groups Affect Population Growth?[J]. Mathematical Biosciences and Engineering, 2005, 2(3): 579-590. doi: 10.3934/mbe.2005.2.579

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  • I describe several models of population dynamics, both unstructured and gender structured, that include groups of individuals who do not reproduce. I analyze the effect that the nonreproductive group may have on the dynamics of the whole population in terms of the vital rates and the proportion of nonreproductive individuals, and we provide specific examples for real populations.


  • 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, 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
    3. 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
    4. Martin J. Blaser, Glenn F. Webb, Claire M. Fraser, Host Demise as a Beneficial Function of Indigenous Microbiota in Human Hosts, 2014, 5, 2150-7511, 10.1128/mBio.02262-14
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  • © 2005 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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