Discrete host-parasitoid models with Allee effects and age structure in the host

  • 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

    Related Papers:

  • 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.


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