Journal of Mathematical Biology

, Volume 66, Issue 4, pp 705–717

Group defence and the predator’s functional response

Article

DOI: 10.1007/s00285-012-0617-7

Cite this article as:
Geritz, S.A.H. & Gyllenberg, M. J. Math. Biol. (2013) 66: 705. doi:10.1007/s00285-012-0617-7

Abstract

We derive from first principles the functional response of the predator and the reproduction rate of the prey in the case that the prey form groups as a defence against the predator and the latter captures only single prey. We also give some examples of the resulting predator–prey population dynamics.

Keywords

Predator–prey modelFunctional responseGroup defence Group size distributionBecker–Döring equations

Mathematics Subject Classification (2000)

92D4092D50

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of HelsinkiFinland