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2010, Volume 7, Issue 1: 67-81. Doi: 10.3934/mbe.2010.7.67
This issue Previous Article Dynamics of an SIS reaction-diffusion epidemic model for disease transmission Next Article Multistability, oscillations and bifurcations in feedback loops

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:  February 28, 2009
Revised:  April 30, 2009
Published:  December 2009
Abstract Related Papers Cited by
    Abstract
  • 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.
    Mathematics Subject Classification: Primary: 92D25; Secondary: 39A11.

    Citation:
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