Journal of Mathematical Biology

, Volume 21, Issue 1, pp 35–44 | Cite as

Delays in recruitment at different trophic levels: Effects on stability

  • Alan Hastings


Predator prey models in which there is a delay in recruitment in both species and only adults interact are formulated and studied. Stability results show that the length of delays in recruitment in the prey are more critical than the length of recruitment delays in the predator. Thus the destabilizing effect of recruitment delays may be less important in higher trophic levels than some single species models indicate. Variance in the recruitment delay is shown to be an important stabilizing influence.

Key words

Predator prey systems delay equations 


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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Alan Hastings
    • 1
  1. 1.Department of Mathematics and Division of Environmental StudiesUniversity of CaliforniaDavisUSA

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