Bulletin of Mathematical Biology

, Volume 59, Issue 3, pp 551–567

Cannibalism in an age-structured predator-prey system

  • Frank Van den Bosch
  • Wilfried Gabriel
Article

DOI: 10.1007/BF02459465

Cite this article as:
Van den Bosch, F. & Gabriel, W. Bltn Mathcal Biology (1997) 59: 551. doi:10.1007/BF02459465

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.

Copyright information

© Society for Mathematical Biology 1997

Authors and Affiliations

  • Frank Van den Bosch
    • 1
  • Wilfried Gabriel
    • 2
  1. 1.Department of MathematicsAgricultural University of WageningenWageningenThe Netherlands
  2. 2.Department of EcologyZoological Institute of the Ludwig-Maximilians-University of MunichMünchenGermany