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Mathematical Biosciences and Engineering

2010, Volume 7, Issue 1: 67-81. doi: 10.3934/mbe.2010.7.67
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Discrete host-parasitoid models with Allee effects and age structure in the host

  • 1.
    Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042
  • Received: 01 March 2009 Accepted: 29 June 2018 Published: 01 January 2010

  • MSC : Primary: 92D25; Secondary: 39A11.

  • We study a stage-structured single species population model with Allee effects. The asymptotic dynamics of the model depend on the maximal growth rate of the population as well as on its initial population size. We also investigate two models of host-parasitoid interaction with stage-structure and Allee effects in the host. The parasitoid population may drive the host population to extinction in both models even if the initial host population is beyond the Allee threshold.

    Citation: Sophia R.-J. Jang. Discrete host-parasitoid models with Alleeeffects and age structure in the host[J]. Mathematical Biosciences and Engineering, 2010, 7(1): 67-81. doi: 10.3934/mbe.2010.7.67

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  • We study a stage-structured single species population model with Allee effects. The asymptotic dynamics of the model depend on the maximal growth rate of the population as well as on its initial population size. We also investigate two models of host-parasitoid interaction with stage-structure and Allee effects in the host. The parasitoid population may drive the host population to extinction in both models even if the initial host population is beyond the Allee threshold.


  • This article has been cited by:

    1. Viola Pavlová, Luděk Berec, Impacts of predation on dynamics of age-structured prey: Allee effects and multi-stability, 2012, 5, 1874-1738, 533, 10.1007/s12080-011-0144-y
    2. Sophia R.-J. Jang, Competitive exclusion and coexistence in a Leslie–Gower competition model with Allee effects, 2013, 92, 0003-6811, 1527, 10.1080/00036811.2012.692365
    3. Eugenio Aulisa, Sophia R.-J. Jang, Continuous-time predator–prey systems with Allee effects in the prey, 2014, 105, 03784754, 1, 10.1016/j.matcom.2014.04.004
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  • © 2010 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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