Open AccessDiscrete host-parasitoid models with Allee effects and age structure in the host
Author(s) -
Sophia R.J. Jang
Publication year - 2010
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2010.7.67
Subject(s) - allee effect , parasitoid , host (biology) , population , extinction (optical mineralogy) , population model , biology , ecology , mathematics , demography , paleontology , sociology
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.