Cannibalism in an age-structured predator-prey system |
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Authors: | Frank Van den Bosch Wilfried Gabriel |
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Affiliation: | (1) Department of Mathematics, Agricultural University of Wageningen, Dreijenlaan 4, 6703 HA Wageningen, The Netherlands;(2) Department of Ecology, Zoological Institute of the Ludwig-Maximilians-University of Munich, Postfach 20 31 36, D-80021 München, Germany |
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Abstract: | Recently, Kohlmeier and Ebenhöh showed that cannibalism can stabilize population cycles in a Lotka-Volterra type predator-prey model. Population cycles in their model are due to the interaction between logistic population growth of the prey and a hyperbolic functional response. In this paper, we consider a predator-prey system where cyclic population fluctuations are due to the age structure in the predator species. It is shown that cannibalism is also a stabilizing mechanism when population oscillations are due to this age structure. We conclude that in predator-prey systems, cannibalism by predators can stabilize both externally generated (consumer-resource) as well as internally generated (agestructure) fluctuations. |
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