Journal of Mathematical Biology

, Volume 66, Issue 4, pp 705-717

First online:

Group defence and the predator’s functional response

  • S. A. H. GeritzAffiliated withDepartment of Mathematics and Statistics
  • , M. GyllenbergAffiliated withDepartment of Mathematics and Statistics Email author 

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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.


Predator–prey model Functional response Group defence Group size distribution Becker–Döring equations

Mathematics Subject Classification (2000)

92D40 92D50