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Discrete host-parasitoid models with Allee effects and age structure in the host. (English) Zbl 1184.92053
Summary: 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.

MSC:
92D40 Ecology
39A60 Applications of difference equations
92D25 Population dynamics (general)
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