American Institute of Mathematical Sciences

Advanced
2010, 7(1): 67-81. doi: 10.3934/mbe.2010.7.67

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

Sophia R.-J. Jang 1,

1. 

Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042, United States

Received  March 2009 Revised  May 2009 Published  January 2010

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.
Keywords: host-parasitoid interaction., Allee effects, population threshold.
Mathematics Subject Classification: Primary: 92D25; Secondary: 39A1.
Citation: Sophia R.-J. Jang. Discrete host-parasitoid models with Allee effects and age structure in the host. Mathematical Biosciences & Engineering, 2010, 7 (1) : 67-81. doi: 10.3934/mbe.2010.7.67
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